BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Institute for Advanced Study//NONSGML kigkonsult.se iCalcreator 2.41.92// CALSCALE:GREGORIAN UID:3b2fb2a7-2778-4828-8745-f6c8c704bf24 X-WR-TIMEZONE:UTC X-WR-CALNAME:IAS Mathematics BEGIN:VEVENT UID:ed55b1ee-2652-4dea-a62b-c2980412f951-0 DTSTAMP:20260314T174903Z CREATED:20250826T144727Z DESCRIPTION:Topic: Fundamental Groups of Algebraic Varieties and the Shafar evich Conjecture\n\nSpeakers: Benjamin Thomas Bakker\, Institute for Advan ced Study\n\nMore: https://www.ias.edu/math/events/members-colloquium-96\n \nThe fundamental group $\pi_1(X)$ is an important invariant of a\ncomplex algebraic variety X.  Despite its topological nature\, it is\nclosely con nected to the geometry of many algebraic structures on X. \nIn this talk I want to discuss two elementary questions involving the\nfundamental group :\n\n(1) How many simply-connected algebraic subvarieties does X contain? \n(2) How many global holomorphic functions does the universal cover\n$\ti lde{X}$ have?\n\nThe second question is related to a famous conjecture of Shafarevich\,\nwhich asserts that in the case X is a smooth projective var iety\,\n$\tilde{X}$ has enough global holomorphic functions to separate po ints\nup to compact ambiguity.  I will describe joint work with Brunebarbe \nand Tsimerman which gives a complete answer to questions (1) and (2)\npr ovided $\pi_1(X)$ admits a faithful linear representation\, using\ntechniq ues coming from non-abelian Hodge theory. DTSTART:20251215T183000Z DTEND:20251215T193000Z LAST-MODIFIED:20251215T140047Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-96 END:VEVENT BEGIN:VEVENT UID:92d0eb01-906f-43af-823d-b275f451d655-0 DTSTAMP:20260314T174903Z CREATED:20250825T152025Z DESCRIPTION:Topic: Affine Schubert Varieties Are Splinters\n\nSpeakers: Rob ert Cass\, Claremont McKenna College\n\nMore: https://www.ias.edu/math/eve nts/joint-iaspu-arithmetic-geometry-34\n\nSchubert varieties are known to be Frobenius split in positive\ncharacteristic by the work of Mehta and Ra manathan. More recently\,\nBhatt showed that the full flag variety for $GL _n$ is a splinter by\nentirely different methods. In this talk\, we will e xplain these\nconcepts and show how to generalize Bhatt's result to all Sc hubert\nvarieties for all reductive groups. Our methods apply equally well to\naffine Schubert varieties\, which are related to the Langlands progra m\nand to the representation theory of algebraic groups. This is joint\nwo rk with João Lourenço. DTSTART:20251215T203000Z DTEND:20251215T213000Z LAST-MODIFIED:20251215T195556Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-34 END:VEVENT BEGIN:VEVENT UID:816a0b1f-94b2-4a1a-84eb-64a6afce7031-0 DTSTAMP:20260314T174903Z CREATED:20250822T193838Z DESCRIPTION:Topic: Cohomologous Symplectic Forms with Different Gromov Widt hs\n\nSpeakers: Shengzhen Ning\, University of Minnesota\n\nMore: https:// www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar-5\n\nFor c losed symplectic manifolds\, the Gromov width is among the most\nfundament al symplectic capacities: it measures the size of the largest\nembedded sy mplectic ball and is sensitive to the perturbation of the\nsymplectic form s. A natural question\, posed as Problem 46 in\nMcDuff-Salamon's problem l ist\, asks whether there are cohomologous\nsymplectic forms with different Gromov widths. In this talk\, I will\nexplain how to obtain such examples in dimension 6 from dimension 4\,\nby adapting Ruan's early example of de formation inequivalent\nsymplectic forms. DTSTART:20251216T180000Z DTEND:20251216T190000Z LAST-MODIFIED:20251216T172757Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -5 END:VEVENT BEGIN:VEVENT UID:17e03976-6ce3-42d7-9db7-af255e180b23-0 DTSTAMP:20260314T174903Z CREATED:20250818T180516Z DESCRIPTION:Topic: Partially Hyperbolic Actions of Semisimple Lie Groups\n \nSpeakers: Kurt Vinhage\, University of Utah\n\nMore: https://www.ias.edu /math/events/joint-iaspu-groups-and-dynamics-seminar-41\n\nZimmer proposed the study of higher-rank semisimple group actions in\nthe 1980's after sh owing certain rigidity results\, especially about\nassociated cocycles in the measurable category. In this talk\, I will\ndescribe recent progress t owards classifying such actions in the\npresence of uniformly expanding an d contracting directions. Joint work\nwith D. Damjanovic\, R. Spatzier and D. Xu. DTSTART:20251216T213000Z DTEND:20251216T223000Z LAST-MODIFIED:20251217T130210Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -41 END:VEVENT BEGIN:VEVENT UID:730dc16a-6bc8-4df0-97fa-04ac4556da55-0 DTSTAMP:20260314T174903Z CREATED:20251201T160125Z DESCRIPTION:Topic: Asymptotic dimension\, Isoperimetric Problem\, and Trave ling Salesman Problem in Groups\n\nSpeakers: Anna Erschler\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/special-groups-an d-dynamics-seminar-0\n\nIn many groups\, the optimal diameter for the solu tions of the\nisoperimetric problem is asymptotically equivalent to the lo wer bound\ncoming from their cardinality\; in this situation one says that the\nFølner function is _lossless_ with respect to the isodiametric\nfunc tion. Answering a question of Nowak\, we prove that for some \n groups the Følner function is _not_ lossless\, and we compute the\nasymptotics of th e isodiametric function in many examples.\n\nWe study the relationship bet ween the isodiametric function\, the\ncontrol function for the asymptotic dimension of the group\, and an\ninvariant related to the Universal Travel ing Salesman Problem. We\nprove that the isodiametric function is equivale nt to the control\nfunction for the asymptotic dimension for a broad class of groups with\na lossless Følner function. In particular\, this applies to the\ndiagonal products of Brieussel–Zheng associated with a sequence of \nexpander graphs. \n\nFor our main examples\, the Følner function is not lossless with\nrespect to the isodiametric function\; nevertheless\, we sh ow that in\nthese examples the control function is lossless with respect t o the\nisodiametric one. Such groups include wreath products\, Hall’s\nnil potent-by-abelian groups\, and Lampshuffler groups. While many\namenable g roups of finite Assouad–Nagata dimension have a lossless\ncontrol function \, we also construct examples with a non-lossless\ncontrol function.\n\nWe also discuss open problems concerning how the isoperimetric problem\ninfl uences algebraic properties of groups. We show that every amenable\ngroup of finite Assouad–Nagata dimension has Shalom’s\nproperty HFD. In particul ar\, such groups cannot be simple and cannot\nbe purely torsion. The first conclusion contrasts with the simple\ngroups of Burger and Mozes\, some o f which are quasi… DTSTART:20251217T153000Z DTEND:20251217T170000Z LAST-MODIFIED:20251217T170011Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Special Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/special-groups-and-dynamics-seminar-0 END:VEVENT BEGIN:VEVENT UID:ef73a0ab-0d64-40b8-9fa8-d824d2c1470b-0 DTSTAMP:20260314T174903Z CREATED:20251119T140513Z DESCRIPTION:Topic: What is String Topology?\n\nSpeakers: Yash Deshmukh\, In stitute for Advanced Study\n\nMore: https://www.ias.edu/math/events/what-5 4\n\nGiven two families of loops on a closed smooth manifold\, one can\nco ncatenate the loops at the intersections points of these families to\nobta in a new family of loops. This is the Chas–Sullivan product on\nthe homolo gy of the free loop space of a smooth manifold.  This\nconstruction can be vastly generalized to a 2D topological field\ntheory structure consisting of operations defined using chord\ndiagrams/fat graphs that record compli cated patterns in which families\nof loops are cut and concatenated with e ach other.  These operations\nhave applications to a wide array of questio ns related to geodesics\,\nsmooth topology\, and symplectic topology of co tangent bundles. After\nsome historical motivation\, I will try to compute some toy examples of\nthese operations\, and indicate how they connect to some of the\napplications. If time permits\, I will discuss briefly some exciting\nrecent developments related to the application of the\nGoresky–H ingston string coproduct to smooth topology.\n  DTSTART:20251217T174500Z DTEND:20251217T184500Z LAST-MODIFIED:20251210T160041Z LOCATION:Simonyi 101 and Remote Access SUMMARY:What is...? URL:https://www.ias.edu/math/events/what-54 END:VEVENT BEGIN:VEVENT UID:325a40c7-c768-48a7-b620-158781e48d4a-0 DTSTAMP:20260314T174903Z CREATED:20250826T145748Z DESCRIPTION:Topic: Euler Systems in the Twisted Friedberg-Jacquet Setting\n \nSpeakers: Shilin Lai\n\nAffiliation: University of Michigan\n\nMore: htt ps://www.ias.edu/math/events/joint-iaspu-number-theory-5\n\nWe construct t he tame part of a split anticyclotomic Euler system in a\nsetting where lo cal multiplicity one does not hold. Instead of the\ntraditional zeta integ ral approach\, we prove the existence of the\nnecessary test vectors using a new method based on the unramified\nPlancherel formula. This is joint w ork with Li Cai and Yangyu Fan. DTSTART:20251218T203000Z DTEND:20251218T213000Z LAST-MODIFIED:20251212T160730Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-5 END:VEVENT BEGIN:VEVENT UID:609c718c-c67b-4818-8f47-9eee38f9756a-0 DTSTAMP:20260314T174903Z CREATED:20250930T205636Z DESCRIPTION:Topic: Invariant Distances on Legendrian Spaces\n\nSpeakers: Pi erre-Alexandre Arlove\, University of Strasbourg \n\nMore: https://www.ias .edu/math/events/iasprincetonmontrealparistel-aviv-symplectic-geometry-zoo minar-21\n\nI will begin by motivating the study of invariant distances on spaces\nof Legendrians. I will then discuss two main results:\n(a) the co nstruction of a new unbounded invariant distance on the\nuniversal cover o f many Legendrian isotopy classes \;\n(b) the discreteness of any invarian t distance on Legendrian isotopy\nclasses.\n\nIn particular\, we will see that (a) arises from contact rigidity\,\nwhereas (b) follows from contact flexibility. DTSTART:20251219T141500Z DTEND:20251219T154500Z LAST-MODIFIED:20251219T142110Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-21 END:VEVENT BEGIN:VEVENT UID:b87e8aba-245a-4b12-95b8-a9f163f9b53e-0 DTSTAMP:20260314T174903Z CREATED:20251223T192735Z DESCRIPTION:Topic: On the Topological Invariance of Helicity\n\nSpeakers: O liver Edtmair\, ETH\, Zurich\n\nMore: https://www.ias.edu/math/events/iasp rincetonmontrealparistel-aviv-symplectic-geometry-zoominar-22\n\nHelicity is an invariant of divergence free vector fields on a\nthree-manifold. One of its fundamental properties is invariance under\nvolume preserving diff eomorphisms. Arnold\, having derived an ergodic\ninterpretation of helicit y as an asymptotic Hopf invariant\, asked\nwhether helicity remains invari ant under volume preserving\nhomeomorphisms\, and more generally\, whether it admits an extension to\ntopological volume preserving flows. In this t alk\, I will present an\naffirmative answer to both questions for non-sing ular flows. The proof\ndraws on recent advances in C^0 symplectic geometry \, in particular\nregarding the algebraic structure of the group of area p reserving\nhomeomorphisms\, which I will also survey. This is based on joi nt work\nwith Sobhan Seyfaddini. DTSTART:20260116T141500Z DTEND:20260116T154500Z LAST-MODIFIED:20260116T201923Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-22 END:VEVENT BEGIN:VEVENT UID:8461af63-d4a3-414f-9fda-99965d7bb0d1-0 DTSTAMP:20260314T174903Z CREATED:20251124T185435Z DESCRIPTION:Topic: All-Pairs Min-Cut vs. All-Pairs Shortest-Path\n\nSpeaker s: Amir Abboud\, Weizmann Institute of Science\n\nMore: https://www.ias.ed u/math/events/computer-sciencediscrete-mathematics-seminar-ii-608\n\nThe A ll-Pairs Min-Cut problem (APMC) asks to compute the minimum cut\n(or equiv alently\, the maximum flow) between all pairs of nodes in a\ngraph.1 The n aive solution of making n^2 calls to a single-pair\nmin-cut algorithm was surpassed in 1961 by a remarkable algorithm of\nGomory and Hu that require s only n-1 calls. Within the same time\nbound\, their algorithm produces a cut-equivalent tree (or GH-Tree)\nthat preserves all pairwise minimum cut s exactly.2 This yields a cubic\nupper bound for APMC\, which has stood as the barrier for the general\nproblem for over 60 years.\n\nThe All-Pairs Shortest-Path problem (APSP) appears similar\, asking to\ncompute the dist ance rather than the connectivity between all pairs.\nIts complexity lands cape also seems analogous: despite the existence\nof mildly subcubic algor ithms\, a truly subcubic solution remains\nelusive. In fact\, in the past 10 years\, the conjecture that APSP\nrequires essentially cubic time has p layed a central role in\nfine-grained complexity\, leading to conditional lower bounds for many\nother fundamental problems that appear even easier than APMC. However\,\na formal reduction from APSP to APMC has remained el usive.\n\nThis talk will overview a sequence of works (with Krauthgamer\, Li\,\nPanigrahi\, Saranurak\, and Trabelsi) breaking the 60-year-old cubic \nbarrier for APMC\, establishing a counter-intuitive separation between\n APMC and APSP\, and inspiring new attacks on the APSP conjecture. Along\nt he way\, we will highlight the use of techniques such as expander\ndecompo sitions\, regularity lemmas\, and theorems from additive\ncombinatorics.  DTSTART:20260120T153000Z DTEND:20260120T163000Z LAST-MODIFIED:20260130T151421Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-608 END:VEVENT BEGIN:VEVENT UID:1cfc6f10-b552-4391-abf9-acf4cc6d1d9b-0 DTSTAMP:20260314T174903Z CREATED:20251201T200912Z DESCRIPTION:Topic: Improving Algorithmic Efficiency Using Cryptography\n\nS peakers: Or Zamir\, Tel Aviv University\n\nMore: https://www.ias.edu/math/ events/computer-sciencediscrete-mathematics-seminar-ii-609\n\nCryptographi c primitives have been used for various non-cryptographic\nobjectives\, su ch as eliminating or reducing randomness and\ninteraction. We show how to use cryptography to improve the time\ncomplexity of solving computational problems. Specifically\, we show\nthat under standard cryptographic assump tions\, we can design\nalgorithms that are asymptotically faster than exis ting ones while\nmaintaining correctness.\n\nWe introduce and construct 'T rapdoor Matrix Distributions'\, using\nwhich\, we present the first unifor m reduction from worst-case to\napproximate and average-case matrix multip lication with optimal\nparameters (improving on HS2025\, albeit under comp utational\nassumptions)\, the first WC to average-case reductions for matr ix\ninversion and other linear operations\, fast general-purpose dimension \nreductions\, as well as a speedup of inference time in classification\nm odels.\n\nBased on joint work with Vinod Vaikuntanathan. DTSTART:20260120T163000Z DTEND:20260120T173000Z LAST-MODIFIED:20260130T151447Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-609 END:VEVENT BEGIN:VEVENT UID:a21581e6-60f2-452a-a31d-990474b19fbe-0 DTSTAMP:20260314T174903Z CREATED:20251208T184752Z DESCRIPTION:Topic: Equidistribution of Expanding Horospheres in the Space o f Translation Surfaces\n\nSpeakers: Omri Solan\, Institute for Advanced St udy\n\nMore: https://www.ias.edu/math/events/analysis-and-mathematical-phy sics-71\n\nA translation surface is a closed surface that is obtained by g luing\nedges of a polygon in parallel. The group $GL_2(R)$ acts on the\nco llection translation surfaces of a fixed genus g. For a fixed\ntranslation surface S and t>0\, we obtain a probability measure on the\ncollection of translation surfaces by rotating S with a uniform angle\nand then multipl ying by $diag(e^t\, e^-t)$. Alternatively\, we can talk\non expanding a pi ece of horospherical orbit. We prove equidistribution\nof this sequence of measures as $t -> ∞$. This resolves a conjecture\nof Forni\, and extends a result of Eskin and Mirzakhani that (in\nparticular) showed our result w ith a Cesàro average. We will also\ndiscuss an application of this result to billiards with rational\nangles. DTSTART:20260120T193000Z DTEND:20260120T203000Z LAST-MODIFIED:20260120T193712Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-71 END:VEVENT BEGIN:VEVENT UID:3cea22fd-7e47-4252-af6c-b900f66c2600-0 DTSTAMP:20260314T174903Z CREATED:20251215T150137Z DESCRIPTION:Topic: Equidistribution of Expanding Horospheres in the Space o f Translation Surfaces\n\nSpeakers: Omri Solan\, Institute for Advanced St udy\n\nMore: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynami cs-seminar-42\n\nA translation surface is a closed surface that is obtaine d by gluing\nedges of a polygon in parallel. The group GL_2(R) acts on the \ncollection translation surfaces of a fixed genus g. For a fixed\ntransla tion surface S and t>0\, we obtain a probability measure on the\ncollectio n of translation surfaces by rotating S with a uniform angle\nand then mul tiplying by diag(e^t\, e^-t). Alternatively\, we can talk on\nexpanding a piece of horospherical orbit. We prove equidistribution of\nthis sequence of measures as t -> ∞. This resolves a conjecture of\nForni\, and extends a result of Eskin and Mirzakhani that (in\nparticular) showed our result w ith a Cesàro average. We will also\ndiscuss an application of this result to billiards with rational\nangles. DTSTART:20260120T213000Z DTEND:20260120T223000Z LAST-MODIFIED:20260120T193742Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -42 END:VEVENT BEGIN:VEVENT UID:2d9481e9-d6ee-47bd-8fed-6459ab9a1606-0 DTSTAMP:20260314T174903Z CREATED:20251223T193305Z DESCRIPTION:Topic: Three 20 Minute Research Talks \n\nSpeakers: Levin Maier \, Heidelberg University\; Elad Kosloff\, Hebrew University of Jerusalem\; Joel Schmitz \, Université de Neuchâtel\n\nMore: https://www.ias.edu/mat h/events/iasprincetonmontrealparistel-aviv-symplectic-geometry-zoominar-23 \n\nLEVIN MAIER (Heidelberg University) : _From Geometric Hydrodynamics to \nPeriodic Geodesics on Manifolds of Mappings_\n\nIn this talk\, we begin by recalling Arnold’s geometric formulation\nof hydrodynamics and then ext end this framework to a broader class of\nHamiltonian systems\, incorporat ing various PDEs arising in\nmathematical physics. This motivates the stud y of infinite-dimensional\nmanifolds and\, in particular\, half Lie groups : topological groups in\nwhich right multiplication is smooth while left m ultiplication is only\ncontinuous. Important examples include groups of $H ^s$ - or\n$C^k$-diffeomorphisms of compact manifolds.\nWithin this setting \, we establish several Hopf–Rinow type theorems\nfor right-invariant magn etic systems and for certain Lagrangian\nsystems on half Lie groups\, ther eby extending recent results of\nBauer–Harms–Michor from the case of geode sic flows to this more\ngeneral context. Finally\, we show that any non-as pherical half Lie\ngroup equipped with a strong Riemannian metric necessar ily admits a\ncontractible periodic geodesic.\nThis talk is based partiall y on joint work with M. Bauer and F.\nRuscelli.\n\nELAD KOSLOFF (Hebrew Un iversity of Jerusalem) : _Open Gromov-Witten\nInvariants for Even-Dimensio nal Lagrangians_\n\nI'll introduce the genus zero open Gromov-Witten invar iants for\neven-dimensional Lagrangians. The definition relies on a canoni cal\nfamily of bounding cochains satisfying the point-like condition of\nS olomon-Tukachinsky\, with non-commutative coefficients. In dimension\ntwo\ , these recover Welschinger's invariants. I'll also present\ncomputations for even dimensional quadric hypersurfaces\, demonstrating\nthat these inv ariants can be non-vanishing in high dimensions with\nmultiple boundary co nstraints.\n\nJOEL SCHMITZ (Université de Neuchâtel) : _Tropical Wave… DTSTART:20260123T141500Z DTEND:20260123T154500Z LAST-MODIFIED:20260123T165132Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-23 END:VEVENT BEGIN:VEVENT UID:9450edd6-00a2-4c95-afa3-beadb423cd53-0 DTSTAMP:20260314T174903Z CREATED:20260116T140356Z DESCRIPTION:Topic: The Orthogonal Vectors Conjecture and Nonuniform Circuit Lower Bounds\n\nSpeakers: Ryan Williams\, Institute for Advanced Study\n \nMore: https://www.ias.edu/math/events/computer-sciencediscrete-mathemati cs-seminar-ii-610\n\nA line of work has shown how nontrivial uniform algor ithms for\nanalyzing circuits can be used to derive nonuniform circuit low er\nbounds. In this talk\, I will show in depth how the nonexistence of\nn ontrivial circuit-analysis algorithms can also imply nonuniform\ncircuit l ower bounds. Our connections yield new win-win circuit lower\nbounds\, and suggest a potential approach to refuting the Orthogonal\nVectors Conjectu re in the $O(\log n)$-dimensional case\, which would be\nsufficient for re futing the Strong Exponential Time Hypothesis (SETH).\nFor example\, we sh ow that at least one of the following holds: \n\n * There is an $\varepsilo n > 0$ such that for infinitely many $n$\,\nread-once 2-DNFs on $n$ variab les cannot be simulated by nonuniform\n$2^{\varepsilon n}$-size depth-two exact threshold circuits. It is\nalready a notorious open problem to prove that the class $E^{NP}$ does\nnot have polynomial-size depth-two exact th reshold circuits\, so such a\nlower bound would be a significant advance i n low-depth circuit\ncomplexity. In fact\, a stronger lower bound holds in this case: the\n$2^n \times 2^n$ disjointness matrix (well-studied in com munication\ncomplexity) cannot be expressed by a linear combination of $2^ {o(n)}$\nstructured matrices that we call “equality matrices.” \n * For eve ry $c \geq 1$ and every $\varepsilon > 0$\, orthogonal\nvectors on $n$ vec tors in $c \log n$ dimensions can be solved in\n$n^{1+\varepsilon}$ unifor m deterministic time. This case would\nprovide a strong refutation of the Orthogonal Vectors Conjecture\, and\nof SETH: for example\, CNF-SAT on $n$ variables and $O(n)$ clauses\ncould be solved in $2^{n/2 + o(n)}$ time. M oreover\, this case would\nimply nonuniform circuit lower bounds for $E^{N P}$\, against Valiant\nseries-parallel circuits.\n\nInspired by this conne ction\, we… DTSTART:20260127T153000Z DTEND:20260127T173000Z LAST-MODIFIED:20260130T151757Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-610 END:VEVENT BEGIN:VEVENT UID:f8ff8a10-2964-4deb-a5f0-07e96be16204-0 DTSTAMP:20260314T174903Z CREATED:20251223T194929Z DESCRIPTION:More: https://www.ias.edu/math/events/joint-iaspu-symplectic-ge ometry-seminar-13 DTSTART:20260127T180000Z DTEND:20260127T190000Z LAST-MODIFIED:20251223T195110Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -13 END:VEVENT BEGIN:VEVENT UID:598f618f-a5ae-4468-9f89-669766bcbfbd-0 DTSTAMP:20260314T174903Z CREATED:20251208T184835Z DESCRIPTION:Topic: Lyapunov Exponents and Mixing in DiPerna-Lions Flows\n\n Speakers: Elia Bruè\, Institute for Advanced Study\n\nMore: https://www.ia s.edu/math/events/analysis-and-mathematical-physics-72\n\nIn 2003\, Bressa n proposed a conjecture on the mixing efficiency of\nincompressible flows\ , which remains open. This talk surveys progress\ntoward resolving Bressan ’s mixing conjecture and presents a new\nresult confirming its asymptotic validity for time-periodic velocity\nfields. \nWe accomplish this by adapt ing dynamical systems tools to the\nnon-smooth framework of DiPerna-Lions flows. Furthermore\, we discuss\nlinks to bounds on metric entropy and ext ensions of the Ruelle\ninequality. DTSTART:20260127T193000Z DTEND:20260127T203000Z LAST-MODIFIED:20260127T154616Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-72 END:VEVENT BEGIN:VEVENT UID:68275673-4d58-4829-8de6-2656c5a2e05e-0 DTSTAMP:20260314T174903Z CREATED:20260121T182337Z DESCRIPTION:Topic: Topological Versions of the Rokhlin Lemma\n\nSpeakers: P etr Naryshkin\, Institute for Advanced Study\n\nMore: https://www.ias.edu/ math/events/joint-iaspu-groups-and-dynamics-seminar-47\n\nThe classical Ro khlin Lemma asserts that for an aperiodic\nmeasure-preserving transformati on $T$ of a probability space\, one can\nfind a 'tower' of sets on which $ T$ acts by translation and which\ncovers almost all of the space. This res ult is a basic tool in ergodic\ntheory and plays a crucial role in the pro ofs of several fundamental\ntheorems (e.g.\, Dye's and Ornstein's). In the 1970s\, Ornstein and\nWeiss extended the Rokhlin Lemma to free actions of discrete amenable\ngroups\, thus allowing many of these results to be gen eralized beyond\nthe $\mathbb{Z}$-action setting.\n\nIt is natural to ask for analogous statements in topological dynamics\,\nwhere an amenable grou p acts by homeomorphisms on a compact metrizable\nspace. Indeed\, such res ults proved to be extremely useful in certain\ntopics\, such as the study of C$^*$-crossed products and the theory of\nmean dimension. However\, it turns out that the situation is\nsignificantly more subtle than in the mea surable case. On the one\nhand\, there are several different ways to formu late a topological\nanalogue of the Ornstein–Weiss theorem\, useful for di fferent\nproblems. On the other hand\, unlike in the measurable setting\, genuine\ndifficulties arise\, stemming both from the algebraic structure o f the\ngroup and from the topology of the space.\n\nIn this talk\, I will begin by reviewing the classical measurable\nresults and introducing the c orresponding topological formulations. I\nwill then briefly discuss some a pplications (including my work on\nshift embeddability)\, and conclude by outlining the conditions under\nwhich these topological Rokhlin-type prope rties can be established\n(following\, among others\, work with Petrakos). DTSTART:20260127T213000Z DTEND:20260127T223000Z LAST-MODIFIED:20260128T125355Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -47 END:VEVENT BEGIN:VEVENT UID:ff20c107-7b0b-490c-abc1-1c6fffde8957-0 DTSTAMP:20260314T174903Z CREATED:20251202T151938Z DESCRIPTION:More: https://www.ias.edu/math/events/abel-ias\n\n_Sponsored by _the Abel Committee\, the Norwegian Academy of Science\nand Letters and t he IAS School of Mathematics_ _\n\nSpeakers:\nCurtis McMullen\, Harvard Un iversity\nDaniel Spielman\, Yale University\nKaren Uhlenbeck\, University of Texas at Austin and IAS\nHong Wang\, IHES and NYU\n\nPROGRAMME - ALL TA LKS WERE HELD IN SIMONYI HALL\, LECTURE HALL 101\n\n9:00 - 10:00 Registrat ion & Morning Coffee\, Rubenstein Common's Living\nRoom\n\n10:00-10:10 Wel come by DAVID NIRENBERG\, Director of IAS\, and HELGE\nHOLDEN\, chair of t he Abel Committee\, moderator\n10:10-11:10 KAREN UHLENBECK\, University of Texas at Austin\, IAS\, Abel\nPrize laureate 2019\, 'A Sampling of Minimi zation Problems'\n11:10-11:45 break\n11:45-12:45 DANIEL SPIELMAN\, Yale Un iversity\, 'Discrepancy Theory is\nMathematics\, Computer Science\, and St atistics'\n12:50-2:00 Lunch in Simons Hall Dining Room\n2:00-3:00 HONG WAN G\, IHES and NYU\n3-3:30 Tea in Fuld Hall Common Room\n3:30-4:30 CURTIS MC MULLEN\, Harvard University: “Quintics\, braids and\nbilliards\, after Abe l”\n4:30 Conclusion of symposium\n\nThe Abel Prize Committee will also be present:\n• Helge Holden\, NTNU (Chair)\n• Hee Oh\, Yale University\n• Jon athan Pila\, Oxford University\n• Yoshiko Ogata\, Kyoto University\n• Benn y Sudakov\, ETH\, Zürich\n\n \n\nREGISTRATION: CLOSED\n(SEATING IS LIMITED AND YOU MUST BE REGISTERED TO ATTEND THIS WORKSHOP\nIN PERSON. )\n\n \n\n Local accommodations [https://www.ias.edu/math/local-accommodations]\n\nTr avel to IAS [https://www.ias.edu/math/travel-information]\n\n \n\n  DTSTART:20260128T150000Z DTEND:20260128T213000Z LAST-MODIFIED:20260204T140510Z LOCATION:Simonyi Hall 101 SUMMARY:Abel at IAS URL:https://www.ias.edu/math/events/abel-ias END:VEVENT BEGIN:VEVENT UID:d6c08a66-d81f-4af3-b5f3-19c6828bb3bc-0 DTSTAMP:20260314T174903Z CREATED:20260127T184031Z DESCRIPTION:Topic: A Sampling of Minimization Problems\n\nSpeakers: Karen U hlenbeck\, Institute for Advanced Study\n\nMore: https://www.ias.edu/event s/abel-ias DTSTART:20260128T151000Z DTEND:20260128T161000Z LAST-MODIFIED:20260129T181625Z LOCATION:Simonyi Hall 101 SUMMARY:Abel at IAS URL:https://www.ias.edu/events/abel-ias END:VEVENT BEGIN:VEVENT UID:1b52a034-945d-4c77-94f2-c60f06f9c0a8-0 DTSTAMP:20260314T174903Z CREATED:20260127T184335Z DESCRIPTION:Topic: Discrepancy Theory is Mathematics\, Computer Science\, a nd Statistics\n\nSpeakers: Daniel Spielman\, Yale University\n\nMore: http s://www.ias.edu/events/abel-ias-0 DTSTART:20260128T164500Z DTEND:20260128T174500Z LAST-MODIFIED:20260129T181555Z LOCATION:Simonyi Hall 101 SUMMARY:Abel at IAS URL:https://www.ias.edu/events/abel-ias-0 END:VEVENT BEGIN:VEVENT UID:71b62938-34c7-4399-8722-08185d38c56b-0 DTSTAMP:20260314T174903Z CREATED:20260127T184526Z DESCRIPTION:Topic: A Survey of Stein's Restriction Conjecture\n\nSpeakers: Hong Wang\, NYU\n\nMore: https://www.ias.edu/events/abel-ias-1 DTSTART:20260128T190000Z DTEND:20260128T200000Z LAST-MODIFIED:20260129T182958Z LOCATION:Simonyi Hall 101 SUMMARY:Abel at IAS URL:https://www.ias.edu/events/abel-ias-1 END:VEVENT BEGIN:VEVENT UID:6c3a8242-c340-4e02-87ce-52816918d01f-0 DTSTAMP:20260314T174903Z CREATED:20260127T184904Z DESCRIPTION:Topic: Quintics\, Braids and Billiards\, After Abel\n\nSpeakers : Curtis McMullen\, Harvard University\n\nMore: https://www.ias.edu/events /abel-ias-2 DTSTART:20260128T203000Z DTEND:20260128T213000Z LAST-MODIFIED:20260129T183153Z LOCATION: SUMMARY:Abel at IAS URL:https://www.ias.edu/events/abel-ias-2 END:VEVENT BEGIN:VEVENT UID:e7e5dae1-8f4b-4fc4-a8d6-184c81c8e09b-0 DTSTAMP:20260314T174903Z CREATED:20251124T152037Z DESCRIPTION:Topic: Direct Product Testers and PCPs from Coset Complexes\n\n Speakers: Noah Singer\, Carnegie Mellon University\n\nMore: https://www.ia s.edu/math/events/computer-sciencediscrete-mathematics-seminar-i-612\n\nDi rect-product testers” are used in the design of (some)\nprobabilistically checkable proofs (PCPs)\, which\, in turn\, play a\nfundamental role in mo dern complexity theory and cryptography. We\ninvestigate the direct-produc t testability of certain\nalgebraically-defined objects\, called Kaufman–O ppenheim (KO)\ncomplexes (STOC 2018\, Eur. J. Comb. 2023).\n\nAnswering an open question of Kaufman–Oppenheim–Weinberger (STOC\n2025)\, we prove tha t KO complexes are direct-product testers (in the\nlow-soundness regime). This implies\, by work of Bafna–Minzer–Vyas\n(STOC 2025)\, that KO complex es yield PCPs with arbitrarily small\nconstant soundness and quasilinear l ength. These results were\npreviously known for a different construction\, by Chapman–Lubotzky\,\nthat used sophisticated tools from number theory a nd algebraic group\ntheory\; in contrast\, KO complexes have an elementary and strongly\nexplicit description. In this talk\, I will fully define di rect-product\ntesting and KO complexes\, and assume no background aside fr om basic\nprobability and group theory. DTSTART:20260129T160000Z DTEND:20260129T170000Z LAST-MODIFIED:20260130T151821Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-612 END:VEVENT BEGIN:VEVENT UID:c837a456-9a00-4f9b-a268-a6514a027dea-0 DTSTAMP:20260314T174903Z CREATED:20251126T150145Z DESCRIPTION:Topic: Modularity of Special Cycles I\n\nSpeakers: Salim Tayou\ , Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/sp ecial-year-research-seminar-41\n\nSince the work of Jacobi and Siegel\, it is well known that Theta\nseries of quadratic lattices produce modular fo rms. In a vast\ngeneralization\, Kudla and Millson have proved that the ge nerating\nseries of special cycles in orthogonal and unitary Shimura varie ties\nare modular forms. \n\nIn this series of talks\, I will survey known results and conjectures\nabout this topic\, as well as recent progress. DTSTART:20260129T180000Z DTEND:20260129T190000Z LAST-MODIFIED:20260129T190702Z LOCATION:Simonyi 101 SUMMARY:Special Year Research Seminar URL:https://www.ias.edu/math/events/special-year-research-seminar-41 END:VEVENT BEGIN:VEVENT UID:2dbcec55-5c99-44b3-8ed8-bd04561ba797-0 DTSTAMP:20260314T174903Z CREATED:20251208T190719Z DESCRIPTION:Topic: Braided Vector Spaces and Arithmetic Statistics Over Fu nction Fields\n\nSpeakers: Jordan Ellenberg\, University of Wisconsin\n\nM ore: https://www.ias.edu/math/events/joint-iaspu-number-theory-6\n\nThe pa st few years have seen rapid development in arithmetic\nstatistics over fu nction fields over finite fields\, questions like:\n what is the distribut ion of the ell-primary part of the class group\nof a random quadratic exte nsion of F_q(t)?  (Cohen-Lenstra\nheuristics) or:  how many G-covers of P^ 1/F_q are there with bounded\ndiscriminant?  (Malle's conjecture.)  Many o f these results can be\nthought of in a unified way as questions about coh omology of the braid\ngroup with coefficients in a braided vector space.   I'll explain how\nthis works\, talk about some new results with Mark Shust erman in this\nvein which give novel results on prime discriminants\, and point at\nmany questions that remain only partially understood. DTSTART:20260129T203000Z DTEND:20260129T213000Z LAST-MODIFIED:20260129T220728Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-6 END:VEVENT BEGIN:VEVENT UID:7ff6b41c-40b3-4674-bc73-ad8db0099668-0 DTSTAMP:20260314T174903Z CREATED:20251223T193815Z DESCRIPTION:Topic: Non-squeezing and other rigidity results in LCS geometry \n\nSpeakers: Pranav Chakravarthy\, Université libre de Bruxelles\n\nMore: https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-symplec tic-geometry-zoominar-24\n\nLocally conformally symplectic (LCS) manifolds are generalisations of\nsymplectic manifolds where the 2-form is not clos ed but instead\nsatisfies the identity dω = η ∧ ω for a closed 1-form η. T he\nstudy of these manifolds is equivalent to that of symplectic manifolds \nwhen η is exact\; however\, they resemble the behaviour of contact\nmani folds when η has no zeroes. Using the theory of generating\nfunctions for Lagrangians in the twisted cotangent bundle\, we define\nspectral selector s for Hamiltonian LCS diffeomorphisms of S^1 X R^2n X\nS^1 and S^1 X R^(2n +1) and a LCS capacity for domains in S^1 X R^2n X\nS^1\, thereby giving u s a version of the non-squeezing theorem on this\nmanifold. Time permittin g\, we shall also see how we can define a\npartial order on the group of c ompactly supported LCS Hamiltonian\ndiffeomorphisms on S^1 X R^2n X S^1 an d S^1 X R^(2n+1) and a\nbi-invariant metric on the group of compactly supp orted LCS\nHamiltonian diffeomorphisms of S^1 X R^2n X S^1. This is joint work\nwith Mélanie Bertelson and Margherita Sandon. DTSTART:20260130T141500Z DTEND:20260130T154500Z LAST-MODIFIED:20260130T132839Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-24 END:VEVENT BEGIN:VEVENT UID:8f90485d-c90e-4704-8609-629541f08d06-0 DTSTAMP:20260314T174903Z CREATED:20260123T141048Z DESCRIPTION:Topic: Overview and Introduction\n\nSpeakers: Kenta Suzuki\, Pr inceton University\n\nMore: https://www.ias.edu/math/events/learning-semin ar-geometric-representation-theory\n\nThis is the opening talk of a learni ng seminar on geometric\nrepresentation theory. The final goal of the semi nar is to understand\nBezrukavnikov's paper giving geometric realizations of the affine\nHecke algebra\, but we shall work through other topics (inc luding\ngeometric Satake) on the way. DTSTART:20260130T190000Z DTEND:20260130T210000Z LAST-MODIFIED:20260203T183725Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory END:VEVENT BEGIN:VEVENT UID:a3420839-9660-4c3d-b72f-03fcb667d4af-0 DTSTAMP:20260314T174903Z CREATED:20251124T152320Z DESCRIPTION:Topic: Disjoint Pairs in Set Systems and the Combinatorics of L ow-Rank Matrices\n\nSpeakers: Benjamin Sudakov\, ETH Zürich\n\nMore: https ://www.ias.edu/math/events/computer-sciencediscrete-mathematics-seminar-i- 613\n\nIn this talk\, I will discuss the solution to several problems in t wo\nclosely related settings: set families in 2^[n] with many disjoint\npa irs\, and low-rank matrices with many zero entries.\n\nHighlights include a resolution of an old question of Daykin and\nErdős on the maximum number of disjoint set pairs\, a proof of a\nconjecture by Singer and Sudan moti vated by the log-rank conjecture in\ncommunication complexity\, and tight bounds for a problem posed by\nAlon\, Gilboa\, and Gueron related to a lon g-standing question in coding\ntheory about cover-free families.\n\nOur pr oofs use probabilistic\, entropy\, and discrepancy methods\,\nrevealing co nnections to additive combinatorics and coding theory.\n\nJoint with Z. Hu nter\, A. Milojević and I. Tomon. DTSTART:20260202T160000Z DTEND:20260202T170000Z LAST-MODIFIED:20260202T143843Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-613 END:VEVENT BEGIN:VEVENT UID:8cebe5ee-fb24-4a4e-81aa-4e1d370d431d-0 DTSTAMP:20260314T174903Z CREATED:20251208T184327Z DESCRIPTION:Topic: From the Universality to the Kähler Geometry of Random C urves\n\nSpeakers: Yilin Wang\, ETH Zürich\n\nMore: https://www.ias.edu/ma th/events/bourgain-lecture-1\n\nIn probability theory\, universality is th e phenomenon where random\nprocesses converge to a common limit despite mi croscopic differences.\nFor instance\, the random walk\, under mild condit ions\, converges to the\nsame Brownian motion seen from afar\, regardless of the law of each\nindependent step. This phenomenon underlies the emerge nce of the\nrandom simple curve\, called SLE\, as the universal scaling li mit of\ninterfaces in conformally invariant 2D systems. SLE plays a centra l\nrole in 2D random conformal geometry and a probabilistic approach to\n2 D quantum gravity and conformal field theory. On the other hand\, a\nsubfa mily of relatively regular simple curves forms the Weil-Petersson\nTeichmü ller space and has an essentially unique Kähler geometry. To\ndescribe the se geometric structures we invoke the group structure and\nKähler structur e which is described via infinitesimal variations of\nthe curves. Although these two worlds look very different we will\nexplain how they are tied t ogether via the Loewner energy.\n\nI will give an introductory overview of the link\, and discuss the\napplications and further development in explo ring this link. In\nparticular\, we will mention the more recent result sh owing the\nrelation between Loewner energy and the renormalized volume in \nhyperbolic 3-space (motivated by the AdS/CFT holographic principle)\,\ne tc.  DTSTART:20260202T183000Z DTEND:20260202T193000Z LAST-MODIFIED:20260202T193849Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Bourgain Lecture URL:https://www.ias.edu/math/events/bourgain-lecture-1 END:VEVENT BEGIN:VEVENT UID:eb4089fe-14ed-4ce5-ac67-cbda8c544841-0 DTSTAMP:20260314T174903Z CREATED:20251201T180414Z DESCRIPTION:Topic: The Bloch Conductor Formula\n\nSpeakers: Dario Beraldo\, University of Geneva\n\nMore: https://www.ias.edu/math/events/joint-iaspu -arithmetic-geometry-51\n\nLet $X/S$ be a regular scheme over the spectrum of a discrete\nvaluation ring. Bloch conjectured a formula relating algeb raic\ndifferential forms to the total dimension of the vanishing cohomolog y\nof $X/S$. In this talk\, I will explain a proof of this conjecture\nusi ng tools from derived and non-commutative algebraic geometry. This\nis joi nt work with Massimo Pippi. DTSTART:20260202T203000Z DTEND:20260202T213000Z LAST-MODIFIED:20260130T193711Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-51 END:VEVENT BEGIN:VEVENT UID:7aa147f1-aef0-46c8-b565-c78abc365f72-0 DTSTAMP:20260314T174903Z CREATED:20251124T155503Z DESCRIPTION:Topic: The Communication Complexity of Distributed Estimation\n \nSpeakers: Parikshit Gopalan\, Apple\n\nMore: https://www.ias.edu/math/ev ents/computer-sciencediscrete-mathematics-seminar-ii-607\n\nWe propose an extension of Yao's standard two-party communication\nmodel\, where Alice a nd Bob respectively hold probability distributions\np and q over inputs to a function f\, rather than singleton inputs.\nTheir goal is to estimate E [f(x\,y)] to within additive error eps where\nx is drawn from p and y is d rawn (independently) from q. We refer to\nthis as the distributed estimati on problem for f. We motivate this\nproblem by showing that communication problems that have been studied\nin sketching\, databases and learning are instantiations of distributed\nestimation for various functions f. Our go al is to understand how the\nrequired communication scales with the commun ication complexity of f\nand the error parameter eps. \n\nThe naive sampli ng protocol achieves communication that scales as\nO(1/eps^2). We design a new debiasing protocol for arbitrary bounded\nfunctions that requires com munication only linear in 1/\eps\, and gives\nbetter variance reduction th an random sampling. We develop a novel\nspectral technique to show lower b ounds for distributed estimation\,\nand use it to show that the Equality f unction is the easiest full rank\nBoolean function for distributed estimat ion. This technique yields\ntight lower bounds for most functions\, with s et-disjointness being the\nnotable exception. \n\nBased on joint work with Raghu Meka (UCLA)\, Prasad Raghavendra (UC\nBerkeley)\, Mihir Singhal (UC Berkeley) and Avi Wigderson (IAS).  \n\n  DTSTART:20260203T153000Z DTEND:20260203T173000Z LAST-MODIFIED:20260203T125608Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-607 END:VEVENT BEGIN:VEVENT UID:f46caee6-755a-40e5-a8b1-226f42513b30-0 DTSTAMP:20260314T174903Z CREATED:20251223T202647Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/joint-iaspu -symplectic-geometry-seminar-22 DTSTART:20260203T180000Z DTEND:20260203T190000Z LAST-MODIFIED:20251223T202708Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -22 END:VEVENT BEGIN:VEVENT UID:1d4f4d7c-986b-4f0d-b4ee-00d9051b70b7-0 DTSTAMP:20260314T174903Z CREATED:20251208T184850Z DESCRIPTION:Topic: On Stable Implosions\n\nSpeakers: Vlad Vicol\, Courant I nstitute of Mathematical Sciences - NYU\n\nMore: https://www.ias.edu/math/ events/analysis-and-mathematical-physics-73\n\nWe exhibit a new class of s elf-similar implosion solutions for the\nfull compressible Euler equations . For any value of the adiabatic\nexponent\, we construct a sequence of im plosion profiles that are\nsmooth before collapse and have an explicit sim ilarity exponent. The\nfirst profile in this sequence (the ''ground state' ') possesses\nremarkable stability properties\, even outside of spherical symmetry.\nThis is joint work with J. Chen (U Chicago) and S. Shkoller (UC \nDavis). DTSTART:20260203T193000Z DTEND:20260203T203000Z LAST-MODIFIED:20260203T200637Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-73 END:VEVENT BEGIN:VEVENT UID:c2d091f2-5a25-4c48-82b1-c4f386b9cbf9-0 DTSTAMP:20260314T174903Z CREATED:20251215T151029Z DESCRIPTION:Topic: Effective Equidistribution Theorems for Products of SL_2 Factors\n\nSpeakers: Amir Mohammadi\, University of California San Diego \n\nMore: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics- seminar-45\n\nThere has been considerable activity in establishing effecti ve\nversions of equidistribution theorems in homogeneous dynamics in\nrece nt years. In this talk\, we report on new results concerning\neffective eq uidistribution for one-parameter unipotent subgroups\nacting on S-rithmeti c quotients of products of an arbitrary number of\nSL_2 factors. This work is joint with Elon Lindenstrauss and Lei Yang. DTSTART:20260203T213000Z DTEND:20260203T223000Z LAST-MODIFIED:20260121T134520Z LOCATION:314 Fine Hall SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -45 END:VEVENT BEGIN:VEVENT UID:4fa4fb15-9771-401b-98a7-5abd610d687e-0 DTSTAMP:20260314T174903Z CREATED:20251216T193218Z DESCRIPTION:Topic: That's a Big Hypercube\n\nSpeakers: Jordan Ellenberg\, U niversity of Wisconsin \n\nMore: https://www.ias.edu/math/events/mathemati cal-conversations-308\n\nIn a recent collaboration with a group of algebra ic combinatorists at\nICERM\, we came across a rather surprising set of pe rmutations\, which\n(in a natural sense I'll explain in the talk) form an unexpectedly\ngigantic hypercube.  This set of combinatorial objects also turns out\nto have been known to people who worked on low-discrepancy subs ets of\nthe plane\, but it comes as a surprise that it has something to do with\nthe permutation group! I won't give any proofs from the paper\, but \neverything in it is completely elementary and could have been observed\n 50 years ago\, but happened not to be.\n\nAnother interesting wrinkle is t hat this gigantic hypercube was\ndiscovered as a result of an unusually  s uccessful experiment using\nthe Google DeepMind evolutionary coding agent AlphaEvolve\, although we\nwere looking for something else.\n\n  DTSTART:20260204T230000Z DTEND:20260205T010000Z LAST-MODIFIED:20260129T163812Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-308 END:VEVENT BEGIN:VEVENT UID:dc774445-9ea0-4b14-a91b-9ae6ed3a9a07-0 DTSTAMP:20260314T174903Z CREATED:20251126T150213Z DESCRIPTION:Topic: Modularity of Special Cycles II\n\nSpeakers: Salim Tayou \, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/s pecial-year-research-seminar-42\n\nSince the work of Jacobi and Siegel\, i t is well known that Theta\nseries of quadratic lattices produce modular f orms. In a vast\ngeneralization\, Kudla and Millson have proved that the g enerating\nseries of special cycles in orthogonal and unitary Shimura vari eties\nare modular forms. \n\nIn this series of talks\, I will survey know n results and conjectures\nabout this topic\, as well as recent progress.  DTSTART:20260205T180000Z DTEND:20260205T190000Z LAST-MODIFIED:20260205T191631Z LOCATION:Simonyi 101 SUMMARY:Special Year Research Seminar URL:https://www.ias.edu/math/events/special-year-research-seminar-42 END:VEVENT BEGIN:VEVENT UID:4111cfcf-fa44-4e27-9639-06818aabec95-0 DTSTAMP:20260314T174903Z CREATED:20260114T144843Z DESCRIPTION:Topic: Mordell-Schinzel Surfaces and Cluster Algebras\n\nSpeake rs: Antoine de Saint Germain\, University of Hong Kong\n\nMore: https://ww w.ias.edu/math/events/joint-puias-number-theory-54\n\nThe set of positive integer points of the celebrated Markov surface\nadmits the structure of a 3-regular tree. My objective in this talk is\nto unveil a similar phenome non for Mordell-Schinzel surfaces\; namely\nthat the set of positive integ er points of each such surface admits\nthe structure of a 2-regular graph. The vertices of each graph\nnaturally correspond to clusters in a suitabl e (generalised) cluster\nalgebra. I will then explain how the structure th eory of cluster\nalgebras translates into a resolution of the positive Mor dell-Schinzel\nproblem. This is partly based on ongoing joint work with Ro bin Zhang\n(MIT). DTSTART:20260205T203000Z DTEND:20260205T213000Z LAST-MODIFIED:20260130T154732Z LOCATION:*Princeton University\, Fine 214* SUMMARY:Joint PU/IAS Number Theory URL:https://www.ias.edu/math/events/joint-puias-number-theory-54 END:VEVENT BEGIN:VEVENT UID:5842beb8-f675-4769-b582-ba6a0ca9e935-0 DTSTAMP:20260314T174903Z CREATED:20260123T155539Z DESCRIPTION:Topic: Representation Theoretic Background\n\nSpeakers: Yuta Na kayama\, Princeton University\n\nMore: https://www.ias.edu/math/events/lea rning-seminar-geometric-representation-theory-0\n\nWe briefly review combi natorics and algebraic representation of\nreductive groups: root systems\, Weyl groups and (extended) affine Weyl\ngroups\, weight spaces\, and clas sification of irreducible\nrepresentations in terms of highest weights. We define the Langlands\ndual group. We review p-adic groups and their (smoo th)\nrepresentations\, including: Hecke algebras attached to compact open \nsubgroups\, relation between representations and Hecke modules\,\nclassi cal Satake isomorphism and its proof (sketch). If time permits\,\nwe discu ss the unramified local Langlands correspondence. DTSTART:20260206T190000Z DTEND:20260206T210000Z LAST-MODIFIED:20260206T155604Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-0 END:VEVENT BEGIN:VEVENT UID:e6e343dc-9cb7-47af-a9a1-7be7306edd7a-0 DTSTAMP:20260314T174903Z CREATED:20251124T152345Z DESCRIPTION:Topic: Upper and Lower Bounds for the Linear Ordering Principle \n\nSpeakers: Ilya Volkovich\, Boston College\n\nMore: https://www.ias.edu /math/events/computer-sciencediscrete-mathematics-seminar-i-614\n\nThe Lin ear Ordering Principle (LOP) is a total search problem that\ngeneralizes t he task of finding the minimum element of a given order\nto settings in wh ich the order need not be total. Building on this\,\nKorten and Pitassi (F OCS 2024) introduced the complexity class $L_2P$\nas the polynomial-time T uring closure of LOP. They also showed that\n$L_2P$ lies between $MA$ (Mer lin–Arthur protocols) and $S_2P$ (the\nsecond symmetric level of the polyn omial hierarchy).\n\nIn this work\, we establish tighter upper and lower b ounds for $L_2P$\nby sandwiching it between $P^{prMA}$ and $P^{prSBP}$. He re\, the\noracles are promise problems\, and $SBP$ is the only currently k nown\nnatural complexity class that lies between $MA$ and $AM$. The\nconta inment $L_2P \subseteq P^{prSBP}$ is obtained via an iterative\nprocedure that uses a $prSBP$ oracle to estimate the average order\nrank of a subset and to identify the minimum element of a linear\norder. This technique ma y be of independent interest.\n\nThese containment results yield several c onsequences: \n\n * We answer affirmatively an open question posed by Chaka ravarthy and\nRoy (Computational Complexity\, 2011) on whether $P^{prMA} \ subseteq\nS_2P$\, thereby settling the relative standing of previously exi sting\nKarp–Lipton–style collapse results.\n * We resolve an open question of Korten and Pitassi whether a\nKarp–Lipton–style collapse can be establi shed for $L_2P$.\n\nBased on a joint work with Edward Hirsch. DTSTART:20260209T160000Z DTEND:20260209T170000Z LAST-MODIFIED:20260209T131054Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-614 END:VEVENT BEGIN:VEVENT UID:b416e50c-de95-4d18-ac4f-52e94b090208-0 DTSTAMP:20260314T174903Z CREATED:20251208T184350Z DESCRIPTION:Topic: The P vs. NP Problem\n\nSpeakers: Avi Wigderson\, Instit ute for Advanced Study\n\nMore: https://www.ias.edu/math/events/members-co lloquium-98\n\nThe P vs. NP problem was formulated about 50 years ago\, an d was chosen\nto be one of the seven Clay millenium problems 25 years ago. In this\nperiod our understanding of the depth\, breadth and impact of th e\nproblem has changed dramatically. I plan to explain the problem\, and\n some of the many research directions and scientific connections it has\nle d to. DTSTART:20260209T183000Z DTEND:20260209T193000Z LAST-MODIFIED:20260209T131234Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-98 END:VEVENT BEGIN:VEVENT UID:9086fbf2-350b-4561-b130-355bc75b2b8e-0 DTSTAMP:20260314T174903Z CREATED:20251204T191653Z DESCRIPTION:Topic: A Gapped Boundary of a Chiral Theory in 2+1d\n\nSpeakers : Jeongwan Haah\, Stanford University\n\nMore: https://www.ias.edu/sns/eve nts/ias-joint-snssom-high-energy-theory-seminar\n\nABSTRACT: It is believe d that topologically ordered gapped local\nHamiltonians in 2+1d consisting of commuting terms may not realize a\nchiral anyon theory. There is even a formula that expresses the chiral\ncentral charge of the edge theory as an integral of commutators of the\nbulk Hamiltonian terms. Here\, we follo w an orthodox approach to\nquantum many-body physics to point out a strong but hidden role of\ntensor product algebras in this belief. We will give a locally\ngenerated\, locally finite dimensional operator algebra on 2d a nd a\nlocal commuting Hamiltonian in that algebra\, realizing the\nthree-f ermion anyon theory\, which contradicts the belief. Furthermore\,\nI will explain that the boundary of this three-fermion theory can be\ngapped out (but is not a boson condensate)\, again by some choice of a\nlocal operato r algebra. DTSTART:20260209T193000Z DTEND:20260209T203000Z LAST-MODIFIED:20260209T141512Z LOCATION:Bloomberg Lecture Hall (IAS) & Zoom SUMMARY:IAS Joint SNS/SOM High Energy Theory Seminar URL:https://www.ias.edu/sns/events/ias-joint-snssom-high-energy-theory-semi nar END:VEVENT BEGIN:VEVENT UID:0a17a52f-f25e-441d-883a-0f57d519723e-0 DTSTAMP:20260314T174903Z CREATED:20251126T150913Z DESCRIPTION:Topic: Hodge Theory and Representations of Real Groups\n\nSpeak ers: Dougal Davis\, University of Melbourne\n\nMore: https://www.ias.edu/m ath/events/joint-iaspu-arithmetic-geometry-44\n\nIn a seminal paper from 2 011\, Wilfried Schmid and Kari Vilonen made a\nbold proposal that apparent ly intractable questions in the\nrepresentation theory of real reductive g roups could be resolved with\nthe help of natural Hodge structures coming from geometry. In this\ntalk\, I will survey to what extent this program h as been realised\,\nexplaining places in representation theory where Hodge structures can\nindeed be seen to play an important role (such as Vogan’s theory of\nlowest K-types\, unitarity questions and the Orbit Method) and some of\nthe techniques that go into making this a working theory. This i s\njoint work with Kari Vilonen and with Lucas Mason-Brown.\n  DTSTART:20260209T203000Z DTEND:20260209T213000Z LAST-MODIFIED:20260210T124912Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-44 END:VEVENT BEGIN:VEVENT UID:4e4a20f4-7e3b-4f62-b59e-5f8430f3a414-0 DTSTAMP:20260314T174903Z CREATED:20260122T145410Z DESCRIPTION:Topic: A Complexity Lower Bound on Algebra Isomorphisms\n\nSpea kers: Jeongwan Haah\, Stanford University\n\nMore: https://www.ias.edu/mat h/events/computer-sciencediscrete-mathematics-seminar-ii-611\n\nTwo vector spaces of the same finite dimension are related by a linear\nisomorphism\ ; that’s how the dimension is defined. Similarly\, two\nsimple subalgebras over complex numbers that are closed under\nconjugate transpose are relat ed by a unitary conjugation whenever\ntheir dimensions are the same. On a many-qubit system\, the unitary\nisomorphism can be written as a unitary q uantum circuit\, of which we\nask about the complexity. For example\, a si mple lightcone argument\nproves that the algebra of all logical operators of any nontrivial\nquantum error correcting code is isomorphic to that of unencoded\nqubits by a deep unitary circuit. Essentially\, this has been t he only\nexplicit (rather than random) example pair of isomorphic simple\n subalgebras where the isomorphism complexity lower bound is proved.\nHere\ , we report another kind of an explicit simple subalgebra on a\ntwo-dimens ional grid of 2n qubits\, isomorphic to the algebra of all\noperators on n qubits\, where any geometrically local unitary circuit\nrealizing any suc h isomorphism must have depth linear in the grid’s\ndiameter. DTSTART:20260210T153000Z DTEND:20260210T173000Z LAST-MODIFIED:20260210T131123Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-611 END:VEVENT BEGIN:VEVENT UID:502601c3-cfcd-492e-87c3-02b904d80f8f-0 DTSTAMP:20260314T174903Z CREATED:20251208T184911Z DESCRIPTION:Topic: Linear Stability of Shrinking Ricci Solitons and First E igenvalue Estimates\n\nSpeakers: Huai-Dong Cao\, Institute for Advanced St udy\n\nMore: https://www.ias.edu/math/events/analysis-and-mathematical-phy sics-74\n\nRicci solitons\, introduced by R. Hamilton in the mid-80s\, are \nself-similar solutions to the Ricci flow and natural generalizations\nof Einstein manifolds. Shrinking Ricci solitons\, in particular\,\n model Ty pe I singularities of the Ricci flow and arise as critical\npoints of Pere lman's $\nu$-entropy. In this talk\, after a quick\nintroduction on (gradi ent) Ricci solitons\, we shall discuss the linear\nstability of shrinking Ricci solitons with respect to Perelman's\n\nu-entropy and the first eigen value estimates of the\nLaplace–Beltrami/Lichnerowicz-type Laplacian opera tors.  DTSTART:20260210T193000Z DTEND:20260210T203000Z LAST-MODIFIED:20260210T131348Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-74 END:VEVENT BEGIN:VEVENT UID:0e93124d-e251-44de-aee6-a41429dedb5f-0 DTSTAMP:20260314T174903Z CREATED:20251215T161001Z DESCRIPTION:Topic: Homogeneous Structures in Smooth Dynamics\n\nSpeakers: A lex Eskin\, University of Chicago\n\nMore: https://www.ias.edu/math/events /joint-iaspu-groups-and-dynamics-seminar-43\n\nIn recent years it has beco me possible to import some ideas and\nmethods from homogeneous dynamics to the general smooth dynamics\nsetting. I will discuss some results and ope n problems in this\narea.   DTSTART:20260210T213000Z DTEND:20260210T223000Z LAST-MODIFIED:20260204T180634Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -43 END:VEVENT BEGIN:VEVENT UID:0b7cc5e7-7826-4faa-854b-29cbb8596f94-0 DTSTAMP:20260314T174903Z CREATED:20251216T193456Z DESCRIPTION:Topic: Lost in a Rough Flow\n\nSpeakers: Elia Bruè\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/mathematical-c onversations-309\n\nA Lipschitz velocity field gives a reassuring picture of particle\nmotion: each starting point traces a single\, well-defined tr ajectory.\nBut many velocity fields arising in geometry\, kinetic theory\, and\nfluid dynamics are far rougher\, and then the basic question “where \ndoes a particle go?” becomes subtle—or sometimes\, not even the\nright q uestion. DTSTART:20260211T230000Z DTEND:20260212T010000Z LAST-MODIFIED:20260206T144131Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-309 END:VEVENT BEGIN:VEVENT UID:78a317ac-263b-4e4e-8faa-fee68634e15e-0 DTSTAMP:20260314T174903Z CREATED:20251126T150242Z DESCRIPTION:Topic: Log-Noetherian Functions\n\nSpeakers: Gal Binyamini\, In stitute for Advanced Study\n\nMore: https://www.ias.edu/math/events/specia l-year-research-seminar-43\n\nI'll talk about the o-minimal structures R_L N and R_{LN\,exp} where one\nhas an effective form of the finiteness prope rty of o-minimality.\nUnlike the more classical structure of Pfaffian func tion\, R_{LN\,exp}\ncontains the period integrals for aribtrary algebraic families. The\nexistence of such a structure was conjectured (in slightly weaker\nform) by Khovanskii in the eighties.\n\nI'll explain the definitio n of the structure and illustrate the main\nideas from hyperbolic geometry \, commutative algebra and differential\nequations that lead to effective bounds. DTSTART:20260212T180000Z DTEND:20260212T190000Z LAST-MODIFIED:20260212T202525Z LOCATION:Simonyi 101 SUMMARY:Special Year Research Seminar URL:https://www.ias.edu/math/events/special-year-research-seminar-43 END:VEVENT BEGIN:VEVENT UID:280fdbd1-c39b-47e5-9987-008c850da596-0 DTSTAMP:20260314T174903Z CREATED:20251208T190809Z DESCRIPTION:Topic: Kudla's Modularity Conjecture\n\nSpeakers: Salim Tayou\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/joi nt-iaspu-number-theory-7\n\nKudla and Millson proved in the 80's that the generating series of\nspecial cycles in orthogonal and unitary Shimura var ieties are modular\nforms and a well-established conjecture of Kudla asks about extensions\nto toroidal compactifications. In this talk\, I will ans wer Kudla's\nconjecture for divisors in O(p\,2) and cycles in U(n\,1) up t o the\nmiddle degree\, in cohomology. Joint work with François Greer and\n Philip Engel. DTSTART:20260212T203000Z DTEND:20260212T213000Z LAST-MODIFIED:20260213T125816Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-7 END:VEVENT BEGIN:VEVENT UID:090e1cf0-c7a3-4b28-854e-22b9259160b3-0 DTSTAMP:20260314T174903Z CREATED:20251223T193857Z DESCRIPTION:Topic: Complexity of Hofer’s geometry in some higher dimensiona l manifolds\n\nSpeakers: Zhijing Wendy Wang\, University of Chicago\n\nMor e: https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-25\n\nThe group of Hamiltonian diffeomorphisms \, equipped with the Hofer\nmetric \, is a central object in symplectic topol ogy. A landmark result\nby Polterovich and Shelukhin established the profo und geometric\ncomplexity of this group for surfaces and their products\, showing that\nhigh powers are sparse in the metric space. More recently\, \nÁlvarez-Gavela et al. demonstrated that the free group embeds\nquasi-iso metrically into Ham of surfaces\, revealing its large-scale\nnon-commutati vity.\n\nIn this talk\, I will review these results and present a generali zation\nto some higher-dimensional symplectic manifolds\, including surfac e\nbundles. We prove robust obstructions that prevent a Hamiltonian\ndiffe omorphism from being a -th power (for ) or from being embedded in\na flow. We also show that every asymptotic cone of for our\nhigher-dimensional ma nifolds contains an embedded free group. DTSTART:20260213T141500Z DTEND:20260213T154500Z LAST-MODIFIED:20260213T132345Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-25 END:VEVENT BEGIN:VEVENT UID:e4b6ce2a-c13c-41fa-a457-23c415f46721-0 DTSTAMP:20260314T174903Z CREATED:20260129T131452Z DESCRIPTION:Topic: Geometry of Affine Grassmannian and Flag Varieties\n\nSp eakers: Feliks Raczka\, Institute for Advanced Study\n\nMore: https://www. ias.edu/math/events/learning-seminar-geometric-representation-theory-1 DTSTART:20260213T190000Z DTEND:20260213T210000Z LAST-MODIFIED:20260204T130607Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-1 END:VEVENT BEGIN:VEVENT UID:cb534a9c-c67d-4f70-9623-8f88a25e1daa-0 DTSTAMP:20260314T174903Z CREATED:20260123T181904Z DESCRIPTION:Topic: Between Schanuel's Conjecture and Fuglede's Conjecture\n \nSpeakers: Jonathan Pila\, Institute for Advanced Study\n\nMore: https:// www.ias.edu/math/events/members-colloquium-99\n\nI will describe an applic ation of point-counting on tame real sets and\nfunctional transcendence to a problem in harmonic analysis. I will\ntouch on the traditional diophant ine applications of these ideas to\nhighlight the new features of this not -so-diophantine application.\nThis is joint work with Gal Binyamini\, Avne r Kiro\, and Gady Kozma. DTSTART:20260216T183000Z DTEND:20260216T193000Z LAST-MODIFIED:20260212T201028Z LOCATION:Simonyi 101 SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-99 END:VEVENT BEGIN:VEVENT UID:7576bfc4-4d62-483f-9c4b-72f5417f69e8-0 DTSTAMP:20260314T174903Z CREATED:20251126T150739Z DESCRIPTION:Topic: A Conjectural Formula for the Cohomology of Congruence L ocally Symmetric Spaces\n\nSpeakers: Matthew Emerton\, University of Chica go\n\nMore: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometr y-43\n\nThe main goal of this talk is to state a conjectural formula for t he\ncompactly supported cohomology of  $\Gamma$ \ $G$ / $K$ when $G$ is a \nsemisimple real group with maximal compact $K$\, and $\Gamma$ is a\ncong ruence subgroup. The formula gives a (conjectural!) expression for\nthis c ohomology in terms of objects appearing on the spectral/Galois\nside of va rious categorical local Langlands conjectures\, and\ngeneralizes to the no n-Shimura variety context a formula already\nproposed by myself and Xinwen Zhu in the case of Shimura varieties.\nSuch a formula is in fact a conseq uence of very general categorical\nLangland principles\, as proposed by Pe ter Scholze. However\, going from\nthese general principles to an explicit conjecture involves\nimplementing a version of the local categorical corr espondence at\ninfinity.\n\nIn this presentation I will propose a concrete conjecture (under the\nadditional assumption that $G$ is an adjoint group )\, which connects\nthis problem in a surprising way (surprising to me\, a t least) to\nVogan's theory of small $K$-types (actually $K$-hat types\, s ince we\nwill apply this theory on the Langlands dual side). \n\nIf time a llows\, I also hope to say something about the relationship\nb/w this expl icit proposal and the general principles already\nmentioned. This is joint work with Dougal Davis and Kari Vilonen. DTSTART:20260216T203000Z DTEND:20260216T213000Z LAST-MODIFIED:20260213T135006Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-43 END:VEVENT BEGIN:VEVENT UID:b02d5a2a-5bf1-400c-8fc1-604d75adc8d0-0 DTSTAMP:20260314T174903Z CREATED:20260122T145816Z DESCRIPTION:Topic: Obfuscation is a Wheelbarrow: How to Build Long-Sought C ryptography Using Complexity Theory\n\nSpeakers: Rahul Ilango\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/computer-scien cediscrete-mathematics-seminar-ii-612\n\nOver the past 50 years\, cryptogr aphers have constructed a number of\nsurprising and important primitives l ike public-key encryption\, which\nallows strangers to communicate private ly even if eavesdroppers hear\neverything they say. However\, there are st ill many basic primitives\nthat cryptographers believe should exist but ha ve not yet been able to\nconstruct.\n\nIn this talk\, I’ll describe a powe rful new complexity-theoretic\napproach to constructing cryptographic prim itives. This approach has\nalready led to multiple long-sought constructio ns\, including\npublic-key encryption with “optimal” security. A key idea is to\nuse “circuit obfuscators” (I’ll explain what these are) to\ntransfe r statements from complexity theory to cryptography.\n\nNo background in c ryptography assumed. Based on joint work with Alex\nLombardi (https://epri nt.iacr.org/2025/1087\n[https://urldefense.com/v3/__https:/eprint.iacr.org /2025/1087__\;!!NubF!PljU3RkGcYYGarLBYIE29Z4g3rSTyVfH9ItX-XjRMhnJCKKjNHK1Z x4g_yenyfan1sxKzkfIOew1ziWK$]).  DTSTART:20260217T153000Z DTEND:20260217T173000Z LAST-MODIFIED:20260217T131304Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-612 END:VEVENT BEGIN:VEVENT UID:2e56a017-8088-4f8b-ae50-f19eda7e0b0e-0 DTSTAMP:20260314T174903Z CREATED:20251223T202315Z DESCRIPTION:Topic: Relative Calabi-Yau Structures with Applications to the Augmentation Variety\n\nSpeakers: Georgios Dimitroglou Rizell\, Uppsala Un iversity\n\nMore: https://www.ias.edu/math/events/joint-iaspu-symplectic-g eometry-seminar-21\n\n The Legendrian contact homology dga can in certain situation be\nendowed with a relative Calabi-Yau structure. We discuss the proof and\n geometric consequences for the augmentation variety\, e.g. th e\nproperty of being a holomorphic Lagrangian in favourable situations.\nE ven in cases when there is no relative Calabi-Yau structure\, e.g. for\nth e knot contact homology dga of Ekholm-Etynre-Ng-Sullivan\, we use\nsimilar techniques show that the the holomorphic Lagrangian property\nstill holds for the augmentation variety. This is joint work with N.\nLegout. DTSTART:20260217T180000Z DTEND:20260217T190000Z LAST-MODIFIED:20260213T134748Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -21 END:VEVENT BEGIN:VEVENT UID:9c544031-38ce-47d3-b447-115c7ab52fd9-0 DTSTAMP:20260314T174903Z CREATED:20251208T184931Z DESCRIPTION:Topic: Lengths of Closed Geodesics in Manifolds of Positive Sca lar Curvature\n\nSpeakers: Yevgeny Liokumovich\, University of Toronto\n\n More: https://www.ias.edu/math/events/analysis-and-mathematical-physics-75 \n\nI will prove Gromov's conjecture that every 3-manifold of positive\nsc alar curvature contains a short closed geodesic. The proof uses\nMin-Max t heory of minimal surfaces and a combinatorial version of mean\ncurvature f low. Time permitting\, I will describe other results about\ngeometry and t opology of 3-manifolds proved using minimal surfaces.\nThis is a joint wor k with Davi Maximo and Regina Rotman. DTSTART:20260217T193000Z DTEND:20260217T203000Z LAST-MODIFIED:20260217T203447Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-75 END:VEVENT BEGIN:VEVENT UID:f7d1f63c-1d5c-4903-a283-71fbf72c47bf-0 DTSTAMP:20260314T174903Z CREATED:20251215T151925Z DESCRIPTION:Topic: Horocycle Flow at Sparse Times\n\nSpeakers: Adam Kanigow ski\, University of Maryland\n\nMore: https://www.ias.edu/math/events/join t-iaspu-groups-and-dynamics-seminar-46\n\nWe discuss recent results on dis tribution of orbits of horocycle flows\nat subquadratic polynomial times ( joint work with M. Radziwill) and at\nthe prime counting function $\Omega$ (joint work with K. Loyd) DTSTART:20260217T213000Z DTEND:20260217T223000Z LAST-MODIFIED:20260209T183649Z LOCATION:314 Fine Hall SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -46 END:VEVENT BEGIN:VEVENT UID:4535a80f-74e2-4872-91d9-bcedc3ab5308-0 DTSTAMP:20260314T174903Z CREATED:20260209T151208Z DESCRIPTION:Topic: On Common Roots of Legendre Polynomials\n\nSpeakers: Dan Mangoubi\, The Hebrew University of Jerusalem\n\nMore: https://www.ias.ed u/math/events/special-year-learning-seminar-41\n\nIn 2011 Bourgain and Rud nick showed that if $\gamma$ is a curve of\nnon-vanishing curvature on the 2d standard flat torus\, then there are\nno Laplace eigenfunctions of arb itrarily large eigenvalues containing\n$\gamma$ in their nodal set. We sho w that if $\gamma$ is a small\ncircle on the 2-sphere\, then there are no zonal spherical harmonics of\narbitrarily large eigenvalues containing $\g amma$ in their nodal set.\nEquivalently\, there are only finitely many Leg endre polynomials that\nvanish at any given non-zero root. Stieltjes conje cture (1890) says\nthat only one Legendre polynomial can vanish at any giv en non-zero\nroot. Time permits\, we will also discuss quantitative bounds .\n\nThe talk is based on joint works with Borys Kadets and Adi Weller\nWe iser. DTSTART:20260218T190000Z DTEND:20260218T200000Z LAST-MODIFIED:20260218T184916Z LOCATION:Simonyi 101 SUMMARY:Special Year Learning Seminar URL:https://www.ias.edu/math/events/special-year-learning-seminar-41 END:VEVENT BEGIN:VEVENT UID:57147d2b-cb58-4e9a-a48b-78063fcf7e79-0 DTSTAMP:20260314T174903Z CREATED:20251216T193520Z DESCRIPTION:Topic: Does Life Compute?\n\nSpeakers: Govind Menon\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/mathematical- conversations-310\n\nI'll discuss our attempts to model problems of bio mo lecular assembly\nusing simple geometric constructions. We contrast how na ture makes\npolyhedra with classical constructions. The issue that really bothers\nme is this: biomolecular codes are remarkably efficient prescript ions\nto synthesize geometric machines. They are certainly 'elegant'\ncons tructions in any reasonable sense of the term. But our\nmathematical attem pts to model this process strike me as ugly (brute\nforce computation main ly). The issue of (mathematical) aesthetics\nisn't typically seen as impor tant when considering 'messy' problems in\nbiology. I think it's a questio n worth discussing. DTSTART:20260218T230000Z DTEND:20260219T010000Z LAST-MODIFIED:20260213T193933Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-310 END:VEVENT BEGIN:VEVENT UID:d97a1921-d2c4-437d-948b-1d15210ecd0a-0 DTSTAMP:20260314T174903Z CREATED:20251126T150259Z DESCRIPTION:Topic: Bi-\bar{Q}-structure on Shimura Varieties and Quadratic Relations Between CM Period\n\nSpeakers: Ziyang Gao\, Institute for Advanc ed Study\n\nMore: https://www.ias.edu/math/events/special-year-research-se minar-44\n\nIn this talk I will introduce a bi-\bar{Q}-structure on Shimur a\nvarieties\, propose a hyperbolic analytic subspace conjecture (analogue \nof Wüstholz’s analytic subgroup theorem in this context)\, and\nexplain its consequence on quadratic relations between holomorphic\nperiods of CM abelian varieties. Joint work with Emmanuel Ullmo and\nAndrei Yafaev. DTSTART:20260219T180000Z DTEND:20260219T190000Z LAST-MODIFIED:20260209T150348Z LOCATION:Simonyi 101 SUMMARY:Special Year Research Seminar URL:https://www.ias.edu/math/events/special-year-research-seminar-44 END:VEVENT BEGIN:VEVENT UID:ee5f67ad-fd01-40a2-a857-372a4621220c-0 DTSTAMP:20260314T174903Z CREATED:20260114T145006Z DESCRIPTION:Topic: A Cubic Fourfold with Sextic Dual\n\nSpeakers: Victor Wa ng\, Institute of Mathematics (IoMAS) Taiwan\n\nMore: https://www.ias.edu /math/events/joint-puias-number-theory-56\n\nI will report on joint work i n progress with Tim Browning and\nRitabrata Munshi\, concerning the use of the circle method to count\nrational points on a particular cubic hypersu rface in six variables.\nThis problem lies at the square-root barrier\, an d I will try to put it\nin context as time permits. DTSTART:20260219T203000Z DTEND:20260219T213000Z LAST-MODIFIED:20260213T131119Z LOCATION:*Princeton University\, Fine 214* SUMMARY:Joint PU/IAS Number Theory URL:https://www.ias.edu/math/events/joint-puias-number-theory-56 END:VEVENT BEGIN:VEVENT UID:f9c238a6-2460-4c98-ace9-279f99cf808c-0 DTSTAMP:20260314T174903Z CREATED:20251223T193954Z DESCRIPTION:Topic: Knot Types of Periodic Reeb Orbits and Their Role in 4-D imensional Symplectic Topology\n\nSpeakers: Umberto Hryniewicz\, RWTH Aach en\n\nMore: https://www.ias.edu/math/events/iasprincetonmontrealparistel-a viv-symplectic-geometry-zoominar-26\n\nThis talk\, which is based on two j oint works\, one with Pedro Salomão\nand Richard Siefring and another with Michael Hutchings and Vinicius\nRamos\, revolves around the role that res trictions on the knot types of\nperiodic Reeb orbits imposed by the assump tion of dynamical convexity\nplays in 4-dimensional symplectic topology. F or instance\, for\ndynamically convex star-shaped domains in a 4-dimension al symplectic\nvector space\, the minimal action among periodic Reeb orbit s in the\nboundary which are unknotted and have self-linking number -1\, c alled\nHopf orbits\, satisfies the axioms of a normalized symplectic capac ity.\nThis shows that this number is not larger than the cylindrical\ncapa city. A result of Edtmair establishes the other inequality\, and\nthese tw o results combined yield that the minimal action of a Hopf\norbit is equal to the cylindrical capacity of such a domain. We will\ndiscuss why is thi s equal to the first ECH capacity\, which then\nexplains the latter capaci ty in simple and purely symplectic geometric\nterms\, with no need of Seib erg-Witten theory. We will also discuss why\nseveral transverse knot types in the standard contact 3-sphere cannot\nbe realized as periodic Reeb orb its of a dynamically convex contact\nform. DTSTART:20260220T141500Z DTEND:20260220T154500Z LAST-MODIFIED:20260220T144411Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-26 END:VEVENT BEGIN:VEVENT UID:87ccb7b4-7fe8-47d0-938b-7e56c789f70d-0 DTSTAMP:20260314T174903Z CREATED:20260129T131516Z DESCRIPTION:Topic: Geometric Satake I: The Satake Category\n\nSpeakers: Lon gke Tang\, Princeton University\n\nMore: https://www.ias.edu/math/events/l earning-seminar-geometric-representation-theory-2 DTSTART:20260220T190000Z DTEND:20260220T210000Z LAST-MODIFIED:20260203T183636Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-2 END:VEVENT BEGIN:VEVENT UID:69d3f771-5ddc-454a-96b4-ce0f8426c982-0 DTSTAMP:20260314T174903Z CREATED:20260122T145921Z DESCRIPTION:Topic: List Decoding: Algebraic and Combinatorial\n\nSpeakers: Shashank Srivastava\, Institute for Advanced Study\n\nMore: https://www.ia s.edu/math/events/computer-sciencediscrete-mathematics-seminar-ii-613\n\nI n the theory of error-correcting codes\, list decoding allows a\ndecoder t o output a list of candidates when attempting to remove noise\nfrom a corr upted input. The constructions and algorithms for such list\ndecodable cod es has had numerous applications in pseudorandomness and\ncomplexity theor y.\n\nIn this talk\, we will focus on the classical constructions of\nopti mally list decodable codes\, first achieved by Guruswami and Rudra.\nThese constructions are based on bounded degree polynomials over\nfinite fields \, and are called Folded Reed—Solomon Codes. In the 20\nyears since their introduction\, we have had significant improvement in\nour understanding o f these codes\, and we will focus on the significant\nstructural and algor ithmic breakthroughs in the last couple of years.\n\nIn the second half\, we will see how a different class of codes based\non expander graphs has r ecently been shown to enjoy many similar\nfeatures to the algebraic codes above. Further\, there are common\nfeatures in the proofs of list decodabi lity of the two classes of\ncodes\, hinting at a broader theory.\n\nBased on joint work with Vikrant Ashvinkumar\, Mursalin Habib\, Fernando\nGranha Jeronimo\, Tushant Mittal and Madhur Tulsiani.\n\n  DTSTART:20260224T153000Z DTEND:20260224T173000Z LAST-MODIFIED:20260224T132324Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-613 END:VEVENT BEGIN:VEVENT UID:3cbb8315-7eff-4604-a2f7-206a9f8885ac-0 DTSTAMP:20260314T174903Z CREATED:20251223T201717Z DESCRIPTION:Topic: Contact non-squeezing in various closed pre quantization s\n\nSpeakers: Pierre-Alexandre Arlove\, University of Strasbourg\n\nMore: https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar-1 5 DTSTART:20260224T180000Z DTEND:20260224T190000Z LAST-MODIFIED:20260224T203011Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -15 END:VEVENT BEGIN:VEVENT UID:1c6d6ff0-1a0b-4f67-a0ca-40bb12de9a0f-0 DTSTAMP:20260314T174903Z CREATED:20251208T190336Z DESCRIPTION:Topic: A Counterexample to the Berger-Coburn Conjecture\n\nSpea kers: Sam Looi\, California Institute of Technology\n\nMore: https://www.i as.edu/math/events/analysis-and-mathematical-physics-76\n\nBerger and Cobu rn conjectured that a Toeplitz operator on\nBargmann--Fock space is bounde d if and only if the heat transform of\nits symbol at time $t=1/4$ is boun ded\, the borderline time singled out\nby the Weyl calculus under the Barg mann transform. We disprove this\nconjecture in every dimension by constru cting a symbol whose Toeplitz\noperator is bounded yet whose heat transfor m at $t=1/4$ is unbounded\non $\mathbb C^n$. The counterexample is assembl ed from translated\nblocks with summable Toeplitz norms but fixed-size hea t profiles\,\nbuilt from oscillatory Weyl symbols whose operator norms are \ncontrolled by a Hilbert--Schmidt estimate. Time permitting\, we discuss \na counterexample showing the failure of the converse direction as\nwell. DTSTART:20260224T193000Z DTEND:20260224T203000Z LAST-MODIFIED:20260218T145903Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-76 END:VEVENT BEGIN:VEVENT UID:ac70a7b2-ca9b-48a9-be43-96b8794db402-0 DTSTAMP:20260314T174903Z CREATED:20251215T161206Z DESCRIPTION:Topic: On Indefinite Integral Ternary Quadratic Forms\n\nSpeake rs: Junho Peter Whang\, Seoul National University and Princeton University \n\nMore: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics- seminar-49\n\nWe present solutions to two problems on indefinite integral ternary\nquadratic forms. The first\, highlighted by Margulis in 1990\, co ncerns\nthe distribution of the ternary Markoff spectrum associated with\n minima of forms. The second\, initiated by Serre in 1990\, is on the\nasym ptotic growth of the number of isotropic forms of bounded height.\nTo over come difficulties involving high ramification\, we develop a\ntool that pr oves useful for other distribution problems as well. Joint\nwork with Alex ander Gamburd\, Amit Ghosh\, and Peter Sarnak. DTSTART:20260224T213000Z DTEND:20260224T223000Z LAST-MODIFIED:20260224T204157Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -49 END:VEVENT BEGIN:VEVENT UID:ab189798-87cf-4c0a-a079-1451682028dc-0 DTSTAMP:20260314T174903Z CREATED:20260219T180319Z DESCRIPTION:Topic: A Vanishing Theorem for O-minimal Curves\n\nSpeakers: Sp encer Dembner\, Stanford University\n\nMore: https://www.ias.edu/math/even ts/special-year-learning-seminar-42\n\nEvery o-minimal structure determine s a collection of 'tame' or\n'definable' subsets of $bbR^n$. We can then a sk about the fragment of\ncomplex geometry present in the structure: Which holomorphic functions\nare definable\, and which spaces are cut out by de finable holomorphic\nfunctions? These 'definable analytic spaces' have pro ven increasingly\nimportant in recent years\, particularly for their appli cations in\nHodge theory. It is now becoming clear that definable analytic \ngeometry is an interesting subject in its own right\, parallel to\nalgeb raic or analytic geometry and interpolating between them. There\nis a robu st notion of definable coherent sheaf which possesses many\nexpected prope rties\, and there is even a GAGA theorem relating\ndefinable and algebraic sheaves.\n\nA natural question is whether definable coherent sheaves ever satisfy\na vanishing theorem: Do there exist spaces analogous to affine s chemes\nor Stein spaces on which all coherent cohomology vanishes? In the \nusual structure $bbR_{an\,exp}$\, such spaces appear rare. But we show\n that in the smaller structure $bbR_{an}$ they are abundant\, at least\nin dimension one. Time permitting\, we discuss the situation in higher\ndimen sions and some partial results.  DTSTART:20260225T190000Z DTEND:20260225T200000Z LAST-MODIFIED:20260225T202502Z LOCATION:Simonyi 101 SUMMARY:Special Year Learning Seminar URL:https://www.ias.edu/math/events/special-year-learning-seminar-42 END:VEVENT BEGIN:VEVENT UID:e2ecf451-e69e-4b2f-a8f5-2a63bfc2c6b0-0 DTSTAMP:20260314T174903Z CREATED:20251216T193542Z DESCRIPTION:Topic: Symmetry and Regularity in Geometry\n\nSpeakers: Aaron N aber\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/even ts/mathematical-conversations-311\n\nWe will give a hopefully light hearte d introduction to the behavior of\nsome geometrically motivated equations\ , mostly in the context of\nexamples and broad discussion of Einstein mani folds (though our story\nhas counterparts in many areas). A theme will be that solutions\ndesperately want to be symmetric\, and this desire is the key to\ncontrol. DTSTART:20260225T230000Z DTEND:20260226T010000Z LAST-MODIFIED:20260220T135133Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-311 END:VEVENT BEGIN:VEVENT UID:bde02fe2-327b-4be8-9e4f-a02cb03ca6cb-0 DTSTAMP:20260314T174903Z CREATED:20251126T150314Z DESCRIPTION:Topic: Tori in Positive Characteristic\n\nSpeakers: Ananth Shan kar\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/event s/special-year-research-seminar-45\n\nI will discuss questions pertaining to geometric unlikely\nintersections and transcendence in the setting of t orii in positive\ncharacteristic. This is based on work in progress joint with Anup\nDixit\, Philip Engel\, and Ruofan Jiang.  DTSTART:20260226T180000Z DTEND:20260226T190000Z LAST-MODIFIED:20260226T201705Z LOCATION:Simonyi 101 SUMMARY:Special Year Research Seminar URL:https://www.ias.edu/math/events/special-year-research-seminar-45 END:VEVENT BEGIN:VEVENT UID:6f1a4cb7-5576-4a8a-80f8-d145e2dcad66-0 DTSTAMP:20260314T174903Z CREATED:20251208T190835Z DESCRIPTION:Topic: Polynomial Bounds for Birch's Theorem on Forms\n\nSpeake rs: Amichai Lampert\, University of Michigan\n\nMore: https://www.ias.edu/ math/events/joint-iaspu-number-theory-8\n\nConsider a collection of forms of odd degree with rational\ncoefficients. Birch proved in 1957 that if th e number of variables is\nsufficiently large\, then the forms must have a nontrivial rational\nzero. The bounds resulting from Birch's proof\, howev er\, are so large\nthat he has described them as 'not even astronomical'. We prove that\,\nfor any fixed odd degree\, the number of variables may be taken\npolynomial in the number of equations. This was previously known o nly\nin degree three\, by a result of Schmidt from 1982. We will review\nB irch's original argument\, discuss a stronger result by Schmidt and\nsketc h the proof of our theorem. Joint work with Andrew Snowden and\nTamar Zieg ler. DTSTART:20260226T203000Z DTEND:20260226T213000Z LAST-MODIFIED:20260227T125125Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-8 END:VEVENT BEGIN:VEVENT UID:983350d1-0933-4767-b008-2790d04f0aef-0 DTSTAMP:20260314T174903Z CREATED:20251223T194021Z DESCRIPTION:Topic: Three 20 Minute Research Talks \n\nSpeakers: Emilia Konr ad\, Augsburg University\; Levin Maier\, Heidelberg University\; Ciprian B onciocat\, Stanford University\n\nMore: https://www.ias.edu/math/events/ia sprincetonmontrealparistel-aviv-symplectic-geometry-zoominar-27\n\nEMILIA KONRAD (_AUGSBURG UNIVERSITY_) : _Construction of Constrained\nFloer Homol ogy_\n\nWe consider the symplectic area functional\, constrained to loops of\nvanishing Hamiltonian mean value: It has the same critical points as\n the Rabinowitz action functional\, and can be used to define a similar\nFl oer homology. In contrast to RFH\, it admits an intrinsic product\nstructu re\, but also involves a non-local term in the gradient flow\nequation.\nT his talk will delve into the Fredholm and compactness results\nrequired to define CFH\, and also discuss some remaining\n„mysteries“.\n\nLEVIN MAIER (_HEIDELBERG UNIVERSITY_) : _From Geometric Hydrodynamics\nto Periodic Ge odesics on Manifolds of Mappings_\n\n_In this talk\, we begin by recalling Arnold’s geometric formulation\nof hydrodynamics and then extend this fra mework to a broader class of\nHamiltonian systems\, incorporating various PDEs arising in\nmathematical physics. This motivates the study of infinit e-dimensional\nmanifolds and\, in particular\, half Lie groups: topologica l groups in\nwhich right multiplication is smooth while left multiplicatio n is only\ncontinuous. Important examples include groups of $H^s$- or\n$C^ k$-diffeomorphisms of compact manifolds. Within this setting\, we\nestabli sh several Hopf–Rinow type theorems for right-invariant\nmagnetic systems and for certain Lagrangian systems on half Lie\ngroups\, thereby extending recent results of Bauer–Harms–Michor\nfrom the case of geodesic flows to this more general context. Finally\,\nwe show that any non-aspherical half Lie group equipped with a strong\nRiemannian metric necessarily admits a contractible periodic geodesic.\nThis talk is based partially on joint wor k with M. Bauer and F.\nRuscelli._\n\nCIPRIAN BONCIOCAT (_STANFORD UNIVERS ITY_) : _Degenerate Lagrangian\nIntersections and Parametric… DTSTART:20260227T141500Z DTEND:20260227T154500Z LAST-MODIFIED:20260227T130606Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-27 END:VEVENT BEGIN:VEVENT UID:395ffd2c-e874-4dcf-bd8b-86143622fa29-0 DTSTAMP:20260314T174903Z CREATED:20260129T131536Z DESCRIPTION:Topic: Geometric Satake II: The Commutativity Constraint\n\nSpe akers: Elias Caeiro\, École Normale Supérieure\n\nMore: https://www.ias.ed u/math/events/learning-seminar-geometric-representation-theory-3 DTSTART:20260227T190000Z DTEND:20260227T210000Z LAST-MODIFIED:20260204T130808Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-3 END:VEVENT BEGIN:VEVENT UID:1546e4b6-48e1-4c92-a7d2-f6df38fe8636-0 DTSTAMP:20260314T174903Z CREATED:20251124T152439Z DESCRIPTION:Topic: Color-avoiding Paths\n\nSpeakers: Yuval Wigderson\, ETH Zürich\n\nMore: https://www.ias.edu/math/events/computer-sciencediscrete-m athematics-seminar-i-617\n\nThe very first result ever proved about tourna ments is due to Rédei\,\nwho nearly 100 years ago proved that every tourna ment contains a\nHamiltonian directed path. Since then\, questions and res ults about\ndirected paths in tournaments have become a major topic in ext remal\ncombinatorics and Ramsey theory.\n\nIn this talk\, I will discuss s ome new results on color-avoiding\ndirected paths\, that is\, directed pat hs in an edge-colored tournament\nwhose edges all avoid some fixed color. Somewhat surprisingly\, such\nquestions turn out to have deep connections to geometric packing\,\nerror-correcting codes\, k-majority tournaments\, Ramsey theory for\nsequences\, extremal problems in convex geometry\, Hilb ert's inequality\,\nand hypergraph Turán questions\, and I will do my best to present\n(some of) these connections. \n\nBased on joint work with Jac ob Fox and Benny Sudakov. DTSTART:20260302T160000Z DTEND:20260302T170000Z LAST-MODIFIED:20260302T173144Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-617 END:VEVENT BEGIN:VEVENT UID:2f3bf919-bb86-4dcf-9c39-d64a4dc31fc2-0 DTSTAMP:20260314T174903Z CREATED:20251208T184434Z DESCRIPTION:Topic: Beyond Translation-Invariance in Arithmetic Harmonic Ana lysis\n\nSpeakers: Trevor Wooley\, Institute for Advanced Study\n\nMore: h ttps://www.ias.edu/math/events/members-colloquium-101\n\nEssentially optim al estimates have been obtained for mean values of\nVinogradov’s exponenti al sum as a consequence of the decoupling\nmethod (by Bourgain\, Demeter a nd Guth)\, and the efficient congruencing\nmethod (by the speaker). Such w ork makes essential use of the fact\nthat the system of Diophantine equati ons associated with these mean\nvalues is translation-dilation invariant. We sketch out such ideas\,\nand report on progress for systems which are n ot translation-dilation\ninvariant obtained by exploiting the arithmetic o f function fields\nover the field of p-adic numbers. Counting problems for Diophantine\nequations feature prominently. DTSTART:20260302T183000Z DTEND:20260302T193000Z LAST-MODIFIED:20260302T181207Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-101 END:VEVENT BEGIN:VEVENT UID:2090619d-5e79-49ad-9d38-5fb1269c2d1b-0 DTSTAMP:20260314T174903Z CREATED:20251201T180726Z DESCRIPTION:Topic: The Reduction Mod $p$ of Crystalline Galois Representati ons\n\nSpeakers: Toby Gee\, Imperial College London\n\nMore: https://www.i as.edu/math/events/joint-iaspu-arithmetic-geometry-52\n\nI will discuss so me joint work with Bhargav Bhatt and Mark Kisin\, in\nwhich we use prismat ic methods to obtain new structures on\nBreuil—Kisin modules\, and deduce results on the inertial weights of\nthe reduction mod $p$ of local $p$-adi c Galois representations. DTSTART:20260302T203000Z DTEND:20260302T213000Z LAST-MODIFIED:20260225T150312Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-52 END:VEVENT BEGIN:VEVENT UID:6e643ef3-1d53-42dc-bb98-85f01369103c-0 DTSTAMP:20260314T174903Z CREATED:20260122T150021Z DESCRIPTION:Topic: VC Dimensions and Regularity\n\nSpeakers: Yuval Wigderso n\, ETH Zürich\n\nMore: https://www.ias.edu/math/events/computer-sciencedi screte-mathematics-seminar-ii-614\n\nThe regularity lemma says that every discrete object can be\npartitioned into a small number of random-like sub objects. But\nhow small is small? And can we make small smaller if we assu me that\nour given object is simple? And what does it mean for a discrete \nobject to be simple?\n\nIn this talk\, I will answer some of these quest ions. Along the way\, I\nwill discuss many variants and generalizations of the classical notion\nof VC dimension\, which turn out to be essential fo r answering the\nquestions above.\n\nBased on joint work with Lior Gishbol iner and Asaf Shapira.  DTSTART:20260303T153000Z DTEND:20260303T173000Z LAST-MODIFIED:20260303T130546Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-614 END:VEVENT BEGIN:VEVENT UID:e5bba69f-a779-44d8-b7f5-0ce1ad3092a2-0 DTSTAMP:20260314T174903Z CREATED:20251223T202807Z DESCRIPTION:Topic: Fukaya Categories and Higher Representation Theory\n\nSp eakers: Vivek Shende\, UC Berkeley and Syddansk Universitet\n\nMore: https ://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar-23\n\nI will explain how Lagrangian Floer homology in certain monopole\nmoduli sp aces recovers the Khovanov homology and its relatives\, by a\ndescription strikingly similar to the Oszvath-Szabo Heegard-Floer\ntheory.  I will als o explain how the ‘sectorial descent’ of\nFukaya categories can be used to construct Rouquier’s promised\nmonoidal structure on the category of repr esentations of the\ncategorified “positive part” of the quantum group.  Th is is joint\nwork with Mina Aganagic\, Elise LePage\, and Peng Zhou.  DTSTART:20260303T180000Z DTEND:20260303T190000Z LAST-MODIFIED:20260225T183152Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -23 END:VEVENT BEGIN:VEVENT UID:0abe4426-a9b4-4ccb-9912-fe9dd9e37114-0 DTSTAMP:20260314T174903Z CREATED:20251208T190406Z DESCRIPTION:Topic: Quantum Ergodicity and Mixing on Large Schreier Graphs\n \nSpeakers: Cyril Letrouit\, Laboratoire de Mathématiques d'Orsay\n\nMore: https://www.ias.edu/math/events/analysis-and-mathematical-physics-77\n\nI n this talk\, I will present joint work with Charles Bordenave and\nMostaf a Sabri establishing quantum ergodicity and quantum weak mixing\nfor seque nces of finite Schreier graphs converging\, in the\nBenjamini–Schramm sens e\, to an infinite Cayley graph whose adjacency\noperator has absolutely c ontinuous spectrum. The proof relies on a new\napproach to quantum ergodic ity on graphs\, based on trace computations\,\nresolvent approximations an d representation theory.\n  DTSTART:20260303T193000Z DTEND:20260303T203000Z LAST-MODIFIED:20260303T143030Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-77 END:VEVENT BEGIN:VEVENT UID:421b2152-2163-4450-8b75-cb2187e3f0ef-0 DTSTAMP:20260314T174903Z CREATED:20251215T161752Z DESCRIPTION:Topic: Local Statistics of the Laplace Spectrum on 3D Rectangul ar Flat Tori\n\nSpeakers: Wooyeon Kim\, Korea Institute for Advanced Study \n\nMore: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics- seminar-50\n\nIn this talk\, we show that the pair correlation of the Lapl acian\neigenvalues on 3-dimensional rectangular flat tori follows Poissoni an\nstatistics. Similar to the earlier work of Eskin\, Margulis\, and Moze s\non 2D flat tori\, these eigenvalues are represented by values of\nposit ive definite quadratic forms at integer points. In the 3D case\,\nthe prob lem reduces to a special case of the quantitative Oppenheim\nconjecture fo r rapidly shrinking intervals. Our approach reformulates\nthe problem in t erms of homogeneous dynamics via theta functions on\n($SL_2$($\mathbb{R}$) /$SL_2$($\mathbb{Z}))^3$\, and relies on a sharp\nquantitative estimate fo r escape of mass in this space. This is joint\nwork with Jens Marklof and Matthew Welsh. DTSTART:20260303T213000Z DTEND:20260303T223000Z LAST-MODIFIED:20260224T205815Z LOCATION:314 Fine Hall SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -50 END:VEVENT BEGIN:VEVENT UID:84b010ce-f883-43c9-8a34-9e26163dbf57-0 DTSTAMP:20260314T174903Z CREATED:20251216T193608Z DESCRIPTION:Topic: Point Counting and Combinatorial Geometry (a Postmortem) \n\nSpeakers: Dan Petersen\, Institute for Advanced Study\n\nMore: https:/ /www.ias.edu/math/events/mathematical-conversations-312\n\nUsually\, paper s and talks present only a polished final product\, and\nignore the wrong turns we took along the way. I will do the opposite\,\nand explain how a p roblem about counting points on moduli spaces led\nus (myself\, Samir Cann ing\, and Olivier Taïbi) to get stuck on a\nquestion in discrete geometry about equivariant triangulations of\n$\mathbb{R}^n$\, and how this questio n eventually was resolved. DTSTART:20260304T230000Z DTEND:20260305T010000Z LAST-MODIFIED:20260306T141236Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-312 END:VEVENT BEGIN:VEVENT UID:00890d22-e9f0-43ec-b178-d4ec9395bc23-0 DTSTAMP:20260314T174903Z CREATED:20260114T145037Z DESCRIPTION:Topic: Eigenvalues of P-Adic Random Matrices and Zeroes of P-Ad ic L-Functions\n\nSpeakers: Roger Van Peski\, Columbia University\n\nMore: https://www.ias.edu/math/events/joint-puias-number-theory-57\n\nEllenberg -Jain-Venkatesh (2011) proposed a p-adic version of the\nKatz-Sarnak philo sophy for usual L-functions: the statistics of zeroes\nof p-adic L-functio ns\, averaged over families\, should agree with the\nlimiting eigenvalue s tatistics of p-adic random matrices. This was\nborn out by numerical data on the number of zeroes in the unit disc\,\nbut many basic statistics\, su ch as correlations between pairs of\neigenvalues\, had not been computed o n the random matrix side.\n\nThis talk will explain recent results on eige nvalues of p-adic random\nmatrices\, including a surprising Jacobi theta f unction formula for the\npair correlation\, and the precise conjectures on zeroes of p-adic\nL-functions which come from these (joint with J. Shen\, \nhttps://arxiv.org/abs/2601.06283). If time permits I will also mention\n ongoing numerical work on the L-function side supporting these\nconjecture s (joint with J. Shen and H. Knospe) .  DTSTART:20260305T203000Z DTEND:20260305T213000Z LAST-MODIFIED:20260227T201934Z LOCATION:*Princeton University\, Fine 214* SUMMARY:Joint PU/IAS Number Theory URL:https://www.ias.edu/math/events/joint-puias-number-theory-57 END:VEVENT BEGIN:VEVENT UID:8bbbbd6a-1b98-49ce-8935-7f2812e81513-0 DTSTAMP:20260314T174903Z CREATED:20251223T194136Z DESCRIPTION:Topic: Barcode Entropy and Relative Symplectic Cohomology\n\nSp eakers: Jonghyeon Ahn\, IBS Center for Geometry and Physics (IBS-CGP)\n\nM ore: https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sym plectic-geometry-zoominar-28\n\nIn this talk\, I will discuss the barcode entropy—the exponential\ngrowth rate of the number of not-too-short bars—o f the persistence\nmodule associated with the relative symplectic cohomolo gy $SH_M(K)$ of\na Liouville domain $K$ embedded in a symplectic manifold $M$. The main\nresult establishes a quantitative link between this Floer-t heoretic\ninvariant and the dynamics of the Reeb flow on $∂K$. More precis ely\,\nI will explain that the barcode entropy of the relative symplectic \ncohomology $SH_M(K)$ is bounded above by a constant multiple of the\ntop ological entropy of the Reeb flow on the boundary of the domain\,\nwhere t he constant depends on the embedding of $K$ into $M$. DTSTART:20260306T141500Z DTEND:20260306T154500Z LAST-MODIFIED:20260306T135114Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-28 END:VEVENT BEGIN:VEVENT UID:e26a3e22-b5d5-4986-948a-59aabedb1b68-0 DTSTAMP:20260314T174903Z CREATED:20260123T200653Z DESCRIPTION:Topic: Lattice Packing of Spheres in High Dimensions Using a St ochastically Evolving Ellipsoid\n\nSpeakers: Boaz Klartag\, Tel Aviv Unive rsity & Weizmann Institute of Science\n\nMore: https://www.ias.edu/math/ev ents/special-members-seminar-2\n\nWe prove that in any dimension n there e xists an origin-symmetric\nellipsoid of volume c n^2 that contains no poin ts of Z^n other than\nthe origin. Here c > 0 is a universal constant. Equi valently\, there\nexists a lattice sphere packing in R^n whose density is at least c n^2\n/ 2^n. Previously known constructions of sphere packings i n R^n had\ndensities of the order of magnitude of n / 2^n\, up to logarith mic\nfactors. Our proof utilizes a stochastically evolving ellipsoid that \naccumulates at least  c n^2 lattice points on its boundary\, while\ncont aining no lattice points in its interior except for the origin. DTSTART:20260306T190000Z DTEND:20260306T200000Z LAST-MODIFIED:20260306T223002Z LOCATION:Simonyi 101 SUMMARY:Special Member's Seminar URL:https://www.ias.edu/math/events/special-members-seminar-2 END:VEVENT BEGIN:VEVENT UID:47511e45-d4de-46d8-9e57-dad82f8c843a-0 DTSTAMP:20260314T174903Z CREATED:20260129T131800Z DESCRIPTION:Topic: Geometric Satake III: Constant Term Functors\n\nSpeakers : Jacob Lurie\, Institute for Advanced Study\n\nMore: https://www.ias.edu/ math/events/learning-seminar-geometric-representation-theory-4 DTSTART:20260306T190000Z DTEND:20260306T210000Z LAST-MODIFIED:20260203T182524Z LOCATION:Bloomberg Lecture Hall (BH-101) SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-4 END:VEVENT BEGIN:VEVENT UID:8b42a4ae-a8a8-45e6-a070-061ee2ef87c0-0 DTSTAMP:20260314T174903Z CREATED:20251124T155436Z DESCRIPTION:More: https://www.ias.edu/math/events/workshop-recent-developme nts-hodge-theory-and-o-minimality\n\n_Sponsored by Dr. John P. Hempel _\n \nOrganizer: Jacob Tsimerman\n\nWe will focus on recent developments in Ho dge theory\, which has\nemerged as both a unifying framework and powerful tool for problems in\narithmetic and unlikely intersections. The goal will also be to flesh\nout the connections to O-minimality\, which has become inextricably\nlinked to many different aspects of this field.\n\nSpeakers: \nYohan Brunebarbe\, University Bordeaux\nHaohua Deng\, Dartmouth College \nPhilip Engel\, University of Illinois\nZiyang Gao\, IAS\nAsvin G.\, IAS \nGiada Grossi\, IAS\nPhilipp Habegger\, University of Basel\nGareth Jones \, University of Manchester\nDmitry Novikov\, IAS\nAlexander Petrov\, MIT \nJonathan Pila\, IAS\nThomas Scanlon\, University of California\, Berkele y\nMichal Szachniewicz\, IAS\nQixiang Wang\, University of Paris\, Saclay \nAlex Youcis\, University of Toronto\n\n \n\nREGISTRATION: \n(SEATING IS LIMITED AND YOU MUST BE REGISTERED TO ATTEND THIS WORKSHOP\nIN PERSON. IAS FACULTY AND MEMBERS ALONG WITH SPEAKERS DO NOT NEED TO\nREGISTER.)\n\nAll talks will be recorded and posted to the School of Math Video\nwebsite to watch in the future.\n\nSOLD OUT: To register please go here:\nhttps://ww w.eventbrite.com/e/workshop-on-recent-developments-in-hodge-theory-and-o-m inimality-tickets-1979876694490?aff=oddtdtcreator \n\nSchedule: \nDownload : Schedule (PDF)\n[https://www.ias.edu/sites/default/files/Schedule_5.pdf] \n \nLocal accommodations [https://www.ias.edu/math/local-accommodations] \n\nTravel to IAS [https://www.ias.edu/math/travel-information] DTSTART:20260309T144500Z DTEND:20260312T210000Z LAST-MODIFIED:20260306T184422Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality END:VEVENT BEGIN:VEVENT UID:748ff922-0a1e-4e76-af87-41b1b499dbdb-0 DTSTAMP:20260314T174903Z CREATED:20260202T180423Z DESCRIPTION:Topic: Ax-Schanuel and the Rank One Riemann-Hilbert Corresponde nce\n\nSpeakers: Jonathan Pila\, Institute for Advanced Study\n\nMore: htt ps://www.ias.edu/math/events/workshop-recent-developments-hodge-theory-and -o-minimality-0\n\nAbstract: A result of Simpson characterizes subspaces t hat are\n(irreducible) algebraic varieties on both sides of the rank one\n Riemann-Hilbert correspondence. This result suggests an underlying\nAx-Sch anuel statement. In joint work with Jacob Tsimerman we affirm\nthis and re cover the bi-algebraicity result. DTSTART:20260309T144500Z DTEND:20260309T154500Z LAST-MODIFIED:20260309T115904Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-0 END:VEVENT BEGIN:VEVENT UID:52d5cde5-8f8e-49cd-92d1-1b76d99d5af9-0 DTSTAMP:20260314T174903Z CREATED:20260211T130316Z DESCRIPTION:Topic: On SNARGs for NP and Nullstellensatz Proofs\n\nSpeakers: Alex Lombardi\, Princeton University\n\nMore: https://www.ias.edu/math/ev ents/computer-sciencediscrete-mathematics-seminar-i-618\n\nWe revisit the question of whether it is possible to build succinct\nnon-interactive argu ments (SNARGs) for all of NP under standard\ncryptographic assumptions. In particular\, we give a candidate\nnon-adaptive SNARG for NP and prove its soundness under\n\n * the learning with errors assumption (or other standa rd assumptions\nsuch as bilinear maps)\, and \n * a mathematical conjecture about multivariate polynomials over the\nreals. In more detail\, our conj ecture is an upper bound on the minimum\ntotal coefficient size of Nullste llensatz proofs (Potechin-Zhang\,\nICALP 2024) of membership in a concrete polynomial ideal.\n\nIn this talk\, we will discuss the construction\, se curity analysis\, and\nour current understanding of the conjecture. \n\nBa sed on joint work with Lali Devadas\, Sam Hopkins\, Yael Kalai\,\nPravesh Kothari\, and Surya Mathialagan. DTSTART:20260309T150000Z DTEND:20260309T160000Z LAST-MODIFIED:20260309T120028Z LOCATION:West Lecture Hall and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-618 END:VEVENT BEGIN:VEVENT UID:e58c8f35-fa67-43a4-8535-534e35c87042-0 DTSTAMP:20260314T174903Z CREATED:20260202T180729Z DESCRIPTION:Topic: P-adic Families and Arithmetic \n\nSpeakers: Giada Gross i\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/ workshop-recent-developments-hodge-theory-and-o-minimality-1\n\nAbstract: I will discuss the general strategy of studying arithmetic\nobjects\, such as p-adic Galois representations\, L-values\, and\nautomorphic forms\, as members of (p-adic) families and explain how\nthis can make certain quest ions more accessible. In particular\, some\nresults involving variation in Zp-towers (Iwasawa theory) and Hida\nfamilies for GL2-objects will be pre sented. DTSTART:20260309T160000Z DTEND:20260309T170000Z LAST-MODIFIED:20260213T135236Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-1 END:VEVENT BEGIN:VEVENT UID:d7aff428-2582-4686-bced-f1b9f5452957-0 DTSTAMP:20260314T174903Z CREATED:20260202T180945Z DESCRIPTION:Topic: Matroids and the Integral Hodge Conjecture for Abelian V arieties\n\nSpeakers: Philip Engel\, University of Illinois\n\nMore: https ://www.ias.edu/math/events/workshop-recent-developments-hodge-theory-and-o -minimality-2\n\nAbstract: We will discuss a proof that the integral Hodge conjecture\nis false for a very general abelian variety of dimension ≥ 4. \nAssociated to any regular matroid is a degeneration of principally\npola rized abelian varieties. We introduce a new combinatorial\ninvariant of re gular matroids\, which obstructs the algebraicity of the\nminimal curve cl ass\, on the very general fiber of the associated\ndegeneration. In concer t with a result of Voisin\, one deduces (via the\nintermediate Jacobian) t he stable irrationality of a very general\ncubic threefold. This is joint work with Olivier de Gaay Fortman and\nStefan Schreieder. DTSTART:20260309T183000Z DTEND:20260309T193000Z LAST-MODIFIED:20260309T201021Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-2 END:VEVENT BEGIN:VEVENT UID:a54d5b4e-63f8-452d-a59a-eb972b2d145d-0 DTSTAMP:20260314T174903Z CREATED:20251201T180815Z DESCRIPTION:Topic: Conjecture $C_{\mathrm{st}}$ for Analytic Varieties\n\nS peakers: Wieslawa Niziol\, IMJ-PRG\n\nMore: https://www.ias.edu/math/event s/joint-iaspu-arithmetic-geometry-45\n\nThe relationship between $p$-adic (pro)-etale cohomology and de Rham\ncohomologies is well understood now fo r algebraic varieties over local\nfields of mixed characteristic. For anal ytic varieties it remains\nlargely conjectural though much progress has be en made in the last\ndecade especially in the Stein case. I will survey th e results as well\nas the conjectures. This is based on a joint work with Pierre Colmez\nand Sally Gilles. DTSTART:20260309T193000Z DTEND:20260309T203000Z LAST-MODIFIED:20260303T194733Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-45 END:VEVENT BEGIN:VEVENT UID:4b62d0f0-94ca-40d9-8286-fd50a5d7335f-0 DTSTAMP:20260314T174903Z CREATED:20260202T181247Z DESCRIPTION:Topic: Galois Action on Higher etale Homotopy Groups\n\nSpeaker s: Alexander Petrov\, MIT\n\nMore: https://www.ias.edu/math/events/worksho p-recent-developments-hodge-theory-and-o-minimality-3\n\nAbstract: Given a n algebraic variety over a number field F\, one can\nattach to it its etal e cohomology groups\, etale fundamental group\, and\nhigher etale homotopy groups\, all equipped with an action of the\nabsolute Galois group of F. The Galois action on etale cohomology is\nknown to satisfy several special properties: for example\, it is de\nRham at places above p (where we cons ider etale cohomology with\nQ_p-coefficients) and eigenvalues of Frobenius elements are Weil\nnumbers. Analogous facts\, appropriately formulated\, also hold for the\nGalois action on the fundamental group. On the contrary \, Galois action\non higher etale homotopy groups turns out to fail some o f these\nproperties. In this talk\, I will discuss the observation that (d ual\nof) higher etale homotopy groups of varieties over numbers fields\nof ten contain subrepresentations that are not de Rham at p. In our\nexamples this stems from the difference between the cohomology of an\narithmetic g roup and its pro-finite completion\, and I will also\ndiscuss this (well-k nown) phenomenon\, which turns out to behave very\ndifferently depending o n whether the ambient reductive group of the\narithmetic group is of Hodge type. This talk is based on joint works\nwith Lue Pan and George Pappas. DTSTART:20260309T200000Z DTEND:20260309T210000Z LAST-MODIFIED:20260310T115025Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-3 END:VEVENT BEGIN:VEVENT UID:2c381d55-423f-4796-a1d1-6580996337fc-0 DTSTAMP:20260314T174903Z CREATED:20260122T150158Z DESCRIPTION:Topic: Reverse Mathematics of Complexity Lower Bounds\, Part I \n\nSpeakers: Hanlin Ren\, Institute for Advanced Study\n\nMore: https://w ww.ias.edu/math/events/computer-sciencediscrete-mathematics-seminar-ii-615 \n\nWhy is it so hard to prove P != NP\, or even to prove super-linear\nci rcuit lower bounds? While we often blame a lack of combinatorial\ningenuit y\, the bottleneck might be more fundamental: the logical\nstrength of our mathematical tools.\n\nThis series of talks explores the 'Reverse Mathema tics' of complexity\ntheory. Instead of asking what lower bounds we can pr ove\, we ask: What\naxioms are *strictly necessary* to prove certain lower bounds? By\nre-examining established lower bounds through the lens of fea sible\nmathematics\, we find that many complexity lower bounds are actuall y\nbasic combinatorial principles in disguise.\n\nWe will focus on two int riguing phenomena:\n\n * Lower bounds as basic principles in disguise: We r evisit Maass's\nclassical lower bound (STOC'84) that one-tape Turing machi nes require\nquadratic time to recognize Palindromes. We show that this lo wer bound\nis logically equivalent to the weak pigeonhole principle over a base\ntheory of feasible reasoning ('PV').\n * The minimum theory for hard ness: Proving lower bounds for the\nResolution proof system requires a spe cific threshold of logical\nstrength ('T^1_2 + dwPHP(PV)'\, or\, 'rwPHP(PL S)'). Remarkably\, this\nrequirement is intrinsic to the Resolution system itself\, independent\nof which specific hard tautology we are analyzing. \n\nIn this series of two talks\, I will introduce the framework of revers e\nmathematics for complexity lower bounds and present results\nillustrati ng the two phenomena above. No prior knowledge about bounded\narithmetic i s assumed.\n\nThese talks are based on the following papers:\n\n * Oliver K orten. Derandomization from Time-Space Tradeoffs. CCC'22\n * Lijie Chen\, J iatu Li\, and Igor Oliveira. Reverse Mathematics of\nComplexity Lower Boun ds. FOCS'24\n * Jiawei Li\, Yuhao Li\, and Hanlin Ren. Finding Bugs in… DTSTART:20260310T143000Z DTEND:20260310T163000Z LAST-MODIFIED:20260310T120832Z LOCATION:Dilworth Room SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-615 END:VEVENT BEGIN:VEVENT UID:987bb0c1-bf13-40db-9dc4-f8d7e999f64c-0 DTSTAMP:20260314T174903Z CREATED:20260202T181542Z DESCRIPTION:Topic: Constructing Holomorphic Functions on Universal Covering s of Complex Algebraic Varieties\n\nSpeakers: Yohan Brunebarbe\, Universit y Bordeaux\n\nMore: https://www.ias.edu/math/events/workshop-recent-develo pments-hodge-theory-and-o-minimality-4\n\nAbstract: Which complex analytic spaces can arise as the universal\ncover of a complex algebraic variety? Motivated by this question\,\nShafarevich asked whether the universal cove r of a smooth projective\nvariety X is always holomorphically convex — tha t is\, whether there\nexists a proper holomorphic map from the universal c over of X to a\nStein space. This was established in the linear case — whe n the\nfundamental group of X admits an almost faithful complex linear\nre presentation — by Eyssidieux–Katzarkov–Pantev–Ramachandran\,\nusing tools from non-abelian Hodge theory. In this talk\, I will\ndiscuss a generaliza tion of Shafarevich’s question to the case of\nnon-compact algebraic varie ties. This is joint work with Ben Bakker\nand Jacob Tsimerman. DTSTART:20260310T144500Z DTEND:20260310T154500Z LAST-MODIFIED:20260310T121136Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-4 END:VEVENT BEGIN:VEVENT UID:9481ab65-4f37-472d-a39d-ce33e96504c9-0 DTSTAMP:20260314T174903Z CREATED:20260202T181821Z DESCRIPTION:Topic: Definable Quotient Spaces for Unlikely Intersection Prob lems\n\nSpeakers: Thomas Scanlon\, University of California\, Berkeley\n\n More: https://www.ias.edu/math/events/workshop-recent-developments-hodge-t heory-and-o-minimality-5\n\nABSTRACT:  Applications of o-minimality to unl ikely intersection\nproblems usually begin with the observation that the r elevant analytic\ncovering maps are definable.  However\, this observation is almost\nnever literally true in that the maps are definable on a suita ble\nfundamental set\, not on the full domain of definition\, and this\nno n-definabily is often leveraged in functional transcendence\nproofs.   Var ious formalisms to describe this situation have been\nintroduced by\, for  example\, Zilber\, Bakker-Klingler-Tsimerman\, and\nEterović-Scanlon.  I w ill discuss a common refinement of these\nformalism and how it can be used to deduce automatic uniformity\nstatements.   DTSTART:20260310T160000Z DTEND:20260310T170000Z LAST-MODIFIED:20260310T183739Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-5 END:VEVENT BEGIN:VEVENT UID:3bfe5a6f-ec92-4c0f-9487-f85a4c71405b-0 DTSTAMP:20260314T174903Z CREATED:20251223T202859Z DESCRIPTION:Topic: Subcritical Handle Attachment\, Wrapped Floer Homology\, and Applications in the Three-Body Problem\n\nSpeakers: Filip Brocic\, Un iversity of Augsburg\n\nMore: https://www.ias.edu/math/events/joint-iaspu- symplectic-geometry-seminar-24\n\nIn this talk\, I will explain how wrappe d Floer homology can be used to\ndetect certain periodic orbits and Reeb c hords in the circular\nrestricted three-body problem. The key input is the invariance of\nwrapped Floer homology under subcritical handle attachment \, together\nwith a regularization of the energy hypersurface below and sl ightly\nabove the first critical value. As applications\, I will describe the\nexistence of consecutive collision orbits at the primaries (e.g.\, th e\nEarth and the Moon)\, as well as the existence of a symmetric periodic \norbit. This talk is based on joint work with Urs Frauenfelder. DTSTART:20260310T170000Z DTEND:20260310T180000Z LAST-MODIFIED:20260225T183504Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -24 END:VEVENT BEGIN:VEVENT UID:435b17cf-8d19-4133-97ed-ee7e79f2e45a-0 DTSTAMP:20260314T174903Z CREATED:20260202T182022Z DESCRIPTION:Topic: Heights of Gross-Schoen and Ceresa Cycles\n\nSpeakers: Z iyang Gao\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math /events/workshop-recent-developments-hodge-theory-and-o-minimality-6\n\nAb stract: In this talk\, we construct a Zariski open dense locus in\n$M_g$ o n which the Beilinson-Bloch height of the Gross-Schoen and\nCeresa cycles is a Weil height\, i.e. it has a lower bound and\nsatisfies the Northcott property. This implies a generic positivity\nresult of the heights of thes e cycles. This is joint work with Shouwu\nZhang. DTSTART:20260310T183000Z DTEND:20260310T193000Z LAST-MODIFIED:20260310T211116Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-6 END:VEVENT BEGIN:VEVENT UID:fd392ead-0208-410a-8f9d-0f313b80dba5-0 DTSTAMP:20260314T174903Z CREATED:20260202T182442Z DESCRIPTION:Topic: A Syntomic Perspective on Integral Canonical Models\n\nS peakers: Alex Youcis\, University of Toronto\n\nMore: https://www.ias.edu/ math/events/workshop-recent-developments-hodge-theory-and-o-minimality-7\n \nAbstract: Since Langlands's earliest paper on his now famous program\,\n canonical integral models of Shimura varieties have occupied a central\nro le in modern number theory. Steady progress has been made in the\ninterven ing 50 years toward the correct formulation of the notion of\n'canonical'\ , the study of the remarkable properties of such models\,\nand ultimately of their construction. In this talk\, I will discuss\nwork with Madapusi ( continuing previous work of Imai--Kato--Youcis in\nthe abelian-type settin g) on giving a new\, and what we believe to be\nmore robust\, notion of 'c anonical' using recent advances in $p$-adic\nHodge theory due to Bhatt--Sc holze\, Drinfeld\, Bhatt--Lurie\, and\nothers. In particular\, we give con structions of models of pre-abelian\ntype Shimura varieties for primes $p> 2$\, extending and more\nconceptually framing previous constructions of Ki sin in the\nabelian-type setting. We moreover recapture the models for arb itrary\nShimura varieties for $p\gg 0$ recently obtained by\nBakker--Shank ar--Tsimerman from this perspective. Finally\, we discuss\nhow this new no tion of canonicity developed here provides the correct\nfoundations to pro ve many strong results about such models\, including\nNéron-type mapping p roperties and algebraization questions of the\nfollowing kind: which $p$-d ivisible groups over\n$\overline{\mathbb{F}}_p$ arise as $A[p^\infty]$ for an abelian\nvariety $A$? \n\n  DTSTART:20260310T200000Z DTEND:20260310T210000Z LAST-MODIFIED:20260311T114347Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-7 END:VEVENT BEGIN:VEVENT UID:73fae4b7-dbaf-498f-9429-ab7198dbcdde-0 DTSTAMP:20260314T174903Z CREATED:20251215T161947Z DESCRIPTION:Topic: The Wiegold Problem and the Normal Rank of Free Products \n\nSpeakers: Lvzhou Chen\, Purdue University\n\nMore: https://www.ias.edu /math/events/joint-iaspu-groups-and-dynamics-seminar-51\n\nThe normal rank (or weight) of a group G is the smallest number of\nelements that normall y generate G. This plays an important role in\n3-manifold topology\, but i t is poorly understood. It is extremely\ndifficult to give lower bounds ap art from looking at the\nabelianization. The Wiegold problem asks if there is a finitely\ngenerated perfect group that has normal rank greater than one\, namely\nthe group cannot be normally generated by any single element . In a\njoint work with Yash Lodha\, we show free products of nontrivial\n left-orderable groups all have normal rank greater than one\, which\nsolve s the Wiegold problem. Our result also has nice implications\nabout Dehn s urgeries of 3-manifolds. I will explain the topological\nand dynamical ing redients in the proof of our theorem.The normal rank\n(or weight) of a gro up G is the smallest number of elements that\nnormally generate G. This pl ays an important role in 3-manifold\ntopology\, but it is poorly understoo d. It is extremely difficult to\ngive lower bounds apart from looking at t he abelianization. The\nWiegold problem asks if there is a finitely genera ted perfect group\nthat has normal rank greater than one\, namely the grou p cannot be\nnormally generated by any single element. In a joint work wit h Yash\nLodha\, we show free products of nontrivial left-orderable groups all\nhave normal rank greater than one\, which solves the Wiegold problem. \nOur result also has nice implications about Dehn surgeries of\n3-manifol ds. I will explain the topological and dynamical ingredients\nin the proof of our theorem. DTSTART:20260310T203000Z DTEND:20260310T213000Z LAST-MODIFIED:20260304T191803Z LOCATION:314 Fine Hall SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -51 END:VEVENT BEGIN:VEVENT UID:196dd468-c606-418c-b761-f886a63e4672-0 DTSTAMP:20260314T174903Z CREATED:20260202T182733Z DESCRIPTION:Topic: The Dynamical Schinzel-Zassenhaus Conjecture and the Tra nsfinite Diameter of Trees\n\nSpeakers: Philipp Habegger\, University of Basel\n\nMore: https://www.ias.edu/math/events/workshop-recent-development s-hodge-theory-and-o-minimality-8\n\nAbstract: In 2019\, Dimitrov proved t he Schinzel-Zassenhaus Conjecture.\nHarry Schmidt and I extended his gener al strategy to cover some\ndynamical variants of this conjecture. One comm on tool in both results\nis Dubinin's Theorem on the transfinite diameter of hedgehogs\, a\nstar-shaped tree in the plane. I will report on joint wo rk in progress\nwith Harry Schmidt. We find new upper bounds for the trans finite\ndiameter of some finite topological trees. Our trees arise from th e\nHubbard tree of a postcritically finite polynomial and reflect its\ndyn amical properties. As a consequence\, we prove new lower bounds for\nthe C all-Silverman or canonical height for a class of postcritically\nfinite po lynomials. DTSTART:20260311T144500Z DTEND:20260311T154500Z LAST-MODIFIED:20260311T120153Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-8 END:VEVENT BEGIN:VEVENT UID:16ff5fbc-7407-490f-9a1b-28e171b200b3-0 DTSTAMP:20260314T174903Z CREATED:20260202T183013Z DESCRIPTION:Topic: Matrix Points on Varieties\n\nSpeakers: Asvin Gothandara man\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/event s/workshop-recent-developments-hodge-theory-and-o-minimality-9\n\nAbstract : We study a non-commutative counterpart $C_n(X)$ of the\nsymmetric produc t $Sym^n X$ of a space $X$\, defined as the space of\nnxn-matrix valued po ints on $X$. Our main result will be a precise\nformula for the cohomology of this space in great generality\, but we\nsee this as the first step in a wider non-commutative world. In\nparticular\, there is an appealing ana logy with Weil restriction that\nwe hope is illuminating and a taste of po ssible future directions. \n\nThis is joint work with Yifeng Huang\, Ruofa n Jiang and Yifan Wei (who\nis on the job market and drove much of this cu rrent research!). \n  DTSTART:20260311T160000Z DTEND:20260311T170000Z LAST-MODIFIED:20260311T120417Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-9 END:VEVENT BEGIN:VEVENT UID:24468484-327d-4109-a172-e97a269fd986-0 DTSTAMP:20260314T174903Z CREATED:20260202T183314Z DESCRIPTION:Topic: Some Effective Special Point Results\n\nSpeakers: Gareth Jones\, University of Manchester\n\nMore: https://www.ias.edu/math/events /workshop-recent-developments-hodge-theory-and-o-minimality-10\n\nAbstract : \nI'll start by discussing some work with Binyamini\, Schmidt\, and Thom as\nin which we prove a uniform Manin-Mumford result for products of CM\ne lliptic curves. I'll show how we apply this to obtain an effective\nAndre- Oort result for fibre powers of the Legendre family. I'll then\ndiscuss wo rk in progress with Schmidt\, on extending this to\nmultiplicative extensi ons. \n  DTSTART:20260311T183000Z DTEND:20260311T193000Z LAST-MODIFIED:20260311T171709Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-10 END:VEVENT BEGIN:VEVENT UID:1100ccab-ea19-47b0-a319-538cfd2448d3-0 DTSTAMP:20260314T174903Z CREATED:20260202T183556Z DESCRIPTION:Topic: (Quasi)-Periods Functions and Derivatives of Period Map s\n\nSpeakers: Jacob Tsimerman\, Institute for Advanced Study\n\nMore: htt ps://www.ias.edu/math/events/workshop-recent-developments-hodge-theory-and -o-minimality-11\n\nAbstract: Given a family $X \rightarrow S$\, one may c onsider the\ncorresponding fiber-wise (quasi-) period integrals as\n(multi )-functions on S. Built out of these using a flag variety\, one\nobtains v ariation of (mixed) hodge structures giving period map $S\n\rightarrow D/ \Gamma$. We study the question of whether one can\nrecover the periods the mselves using the period maps by taking\nderivatives. Specifically\, we sh ow that this is usually true (up to an\nalgebraic closure) and explain whe n it fails. The proofs make use of\no-minimality results. Joint work with Bakker and Pila.  DTSTART:20260311T200000Z DTEND:20260311T210000Z LAST-MODIFIED:20260311T194329Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-11 END:VEVENT BEGIN:VEVENT UID:2867a929-49d1-4628-a5fe-c1c2b927a3a2-0 DTSTAMP:20260314T174903Z CREATED:20260202T184047Z DESCRIPTION:Topic: Hodge-Theoretic Anabelian Geometry\n\nSpeakers: Qixiang Wang\, University of Paris\, Saclay\n\nMore: https://www.ias.edu/math/even ts/workshop-recent-developments-hodge-theory-and-o-minimality-12\n\nAbstra ct: The anabelian phenomenon may be viewed as an arithmetic\nanalogue of M ostow rigidity: it predicts that certain varieties can be\nreconstructed f rom their arithmetic fundamental groups. A celebrated\nresult of S. Mochiz uki shows that hyperbolic curves over p-adic fields\nexhibit this phenomen on. \nInspired by non-abelian Hodge theory\, we introduce a Hodge-theoreti c\nanalogue of arithmetic fundamental groups for complex Kähler\nmanifolds \, and show that an anabelian phenomenon occurs in\ncomplex-analytic geome try. In particular\, hyperbolic Riemann surfaces\nare uniquely determined by their Hodge-theoretic fundamental groups\,\nyielding a complex-analytic analogue of Mochizuki’s result. If time\npermits\, we will discuss higher -dimensional generalizations. \n\n  DTSTART:20260312T144500Z DTEND:20260312T154500Z LAST-MODIFIED:20260312T121722Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-12 END:VEVENT BEGIN:VEVENT UID:804b6873-bf86-4c50-b95d-111ebd9c201e-0 DTSTAMP:20260314T174903Z CREATED:20260202T184318Z DESCRIPTION:Topic: On the Completions of General Period Mappings\n\nSpeaker s: Haohua Deng\, Dartmouth College\n\nMore: https://www.ias.edu/math/event s/workshop-recent-developments-hodge-theory-and-o-minimality-13\n\nAbstrac t: Constructing completions of period mappings with significant\ngeometric and Hodge-theoretical meaning is an important topic in Hodge\ntheory and its applications. There are rich theories for the classical\ncase in which the period domain is Hermitian symmetric. In this talk I\nwill talk about recent breakthroughs in the non-classical settings\,\nparticularly the ge neralized toroidal completion in the sense of\nAsh--Mumford--Raport--Tai a nd Kato--Nakayama--Usui. Joint works with\nColleen Robles and Jacob Tsimer man. DTSTART:20260312T160000Z DTEND:20260312T170000Z LAST-MODIFIED:20260312T121549Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-13 END:VEVENT BEGIN:VEVENT UID:38c9ab0f-d11b-45b1-a842-d75aa5a7af6b-0 DTSTAMP:20260314T174903Z CREATED:20260202T184604Z DESCRIPTION:Topic: Definable Norms on Riemann-Zariski Spaces\n\nSpeakers: M ichal Szachniewicz\, Institute for Advanced Study\n\nMore: https://www.ias .edu/math/events/workshop-recent-developments-hodge-theory-and-o-minimalit y-14\n\nAbstract: I will talk about a joint work with Antoine Sedillot. We \nstudy sup-norms of sections of metrized line bundles for families of\nar ithmetic varieties. Using Riemann-Zariski spaces we obtain formulas\nthat imply new definability results in the context of globally valued\nfields. I will outline our setup and motivations. \n\n  DTSTART:20260312T183000Z DTEND:20260312T193000Z LAST-MODIFIED:20260312T194852Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-14 END:VEVENT BEGIN:VEVENT UID:f6245392-8ae2-49bd-8114-a15b1ac232eb-0 DTSTAMP:20260314T174903Z CREATED:20260202T184811Z DESCRIPTION:Topic: Melnikov Functions Appearing in Polynomial Hamiltonian P erturbations\n\nSpeakers: Dmitry Novikov\, Institute for Advanced Study\n \nMore: https://www.ias.edu/math/events/workshop-recent-developments-hodge -theory-and-o-minimality-15\n\nAbstract: Joint project with Pavao Mardesic \, Laura Ortiz-Bobadilla\,\nand Jessie Pontigo-Herrera.\n\nHibert's 16th p roblem asks for an upper bound on the number of limit\ncycles of planar po lynomial vector fields. For polynomial\nperturbations $\dH+\epsilon\omega$ of planar polynomial foliations\,\nthis is closely related to isolated ze ros of the Abelian integrals\n$\int_\delta\omega$.\n\nHowever\, in degener ate cases\, the first-order approximation given by\nAbelian integrals vani shes\, and one should consider higher-order\napproximations given by Chen' s iterated integrals like\n$\int_\delta\omega\omega'$. We are trying to un derstand their\nfiniteness properties\, which are closely related to the m onodromy\norbit of $\delta$ in $\pi_1(\{H=t\})$. DTSTART:20260312T200000Z DTEND:20260312T210000Z LAST-MODIFIED:20260312T195036Z LOCATION:Simonyi Hall 101 SUMMARY:Workshop on Recent Developments in Hodge Theory and O-minimality URL:https://www.ias.edu/math/events/workshop-recent-developments-hodge-theo ry-and-o-minimality-15 END:VEVENT BEGIN:VEVENT UID:739342d2-1a82-49b2-b477-40b92d44b0c4-0 DTSTAMP:20260314T174903Z CREATED:20260129T131838Z DESCRIPTION:Topic: Talk #1 (Lurie): Geometric Satake III: Constant Term Fun ctors | Talk #2 (Fang): Geometric Satake IV: Identification of the Dual Group\n\nSpeakers: Jacob Lurie\, Institute for Advanced Study\; Xing zhu Fang\, Princeton University\n\nMore: https://www.ias.edu/math/events/l earning-seminar-geometric-representation-theory-5 DTSTART:20260313T170000Z DTEND:20260313T200000Z LAST-MODIFIED:20260310T124030Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-5 END:VEVENT BEGIN:VEVENT UID:7a361f19-4acc-4ab9-baa3-5701f280e119-0 DTSTAMP:20260314T174903Z CREATED:20251124T152516Z DESCRIPTION:Topic: Probabilistic Guarantees to Explicit Constructions: Loca l Properties of Linear Codes\n\nSpeakers: Nikhil Shagrithaya\, University of Michigan\n\nMore: https://www.ias.edu/math/events/computer-sciencediscr ete-mathematics-seminar-i-619\n\nWe present a general framework for derand omizing random linear codes\nwith respect to a broad class of properties\, known as local\nproperties\, which encompass several standard notions suc h as minimum\ndistance\, list-decoding\, list-recovery\, and perfect hashi ng. Our\napproach extends the classical Alon-Edmonds-Luby (AEL) constructi on\nthrough a modified formalism of local coordinate-wise linear (LCL)\npr operties\, introduced by Levi\, Mosheiff\, and Shagrithaya (FOCS 2025).\n \nThe main result shows that we can obtain explicit constructions of\ncode s achieving LCL properties at the same level of optimality as\nrandom line ar codes\, with the cost of increased alphabet size. This\ngives the first explicit constructions of list-recoverable codes\nhaving output list size s that match those of random linear codes\,\namong other results.\n\nIn th is talk we will give the necessary background required to\nformulate the m ain result\, as well as a sketch of its proof.\n\nBased on joint work with Fernando Granha Jeronimo. DTSTART:20260316T150000Z DTEND:20260316T160000Z LAST-MODIFIED:20260219T204949Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-619 END:VEVENT BEGIN:VEVENT UID:618ed915-65a9-4bc3-b53b-375edeaeaaaf-0 DTSTAMP:20260314T174903Z CREATED:20251203T144827Z DESCRIPTION:Topic: Learning from Complexity \n\nSpeakers: Maryanthe Malliar is\, University of Chicago\n\nMore: https://www.ias.edu/math/events/herman n-weyl-lectures-37\n\nHilbert\, motivating his list of 23 problems\, menti ons the arithmetical\nformulation of the concept of the continuum in the w orks of Cauchy\,\nBolzano and Cantor\, and the discovery of non-Euclidean geometry by\nGauss\, Bolyai and Lobachevsky\, as outstanding mathematical \nachievements of the nineteenth century\, to explain starting out with\ns ome problems in these areas. In both we see the power of definitions\nand the power of investigating the interaction of axioms and models.\nAs mathe maticians\, we may want to think about both of these points\nmathematicall y\, and doing so notably gives rise to the field of model\ntheory.\n\nInfo rmally\, model theory begins with objects such as theories (sets of\naxiom s) and models (a combinatorial blueprint of a mathematical\nstructure)\; t hen builds objects such as types (possible limit points\nof models) and ul trapowers (models arising as infinite averages of\nother models). In the s ixties\, at the beginning of the modern field\,\nKeisler suggested studyin g saturation of regular ultrapowers:\ninformally\, how likely these infini te averages are to contain all\ntheir limit points. Progress on this parti cular problem was slow\, but\nhas been interconnected with some of the maj or ideas in the field\,\nsuch as Shelah's development of the global side o f stability (stable\ntheories are those whose models always have few limit points).\n\nIn recent years\, this problem has again advanced\, andwith i t the\nunderstanding that some basic model theoretic questions visible in \nthis framework are productively entangled with independent questions\nin a priori different areas\, such as the existence of irregular pairs\nin S zemeredi's regularity lemma\, in combinatorics\; with certain kinds\nof st atistical learning\, such as differential privacy\, in theoretical\ncomput er science\; and with the… DTSTART:20260316T180000Z DTEND:20260316T190000Z LAST-MODIFIED:20260217T155856Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Hermann Weyl Lectures URL:https://www.ias.edu/math/events/hermann-weyl-lectures-37 END:VEVENT BEGIN:VEVENT UID:bb5dbef6-a08c-4973-8e1a-8c6877d940ed-0 DTSTAMP:20260314T174903Z CREATED:20251201T180838Z DESCRIPTION:Topic: Galois Orbit Bounds for Surface Degenerations\n\nSpeake rs: David Urbanik\, Institute for Advanced Study\n\nMore: https://www.ias. edu/math/events/joint-iaspu-arithmetic-geometry-53\n\nGiven a family $g: X \rightarrow S$ of smooth projective algebraic\nvarieties over a number fi eld $K$\, one often wants to constrain the\npoints $s$ in $S$ where the fi bre $X_s$ acquires 'extra' algebraic\nstructure. A basic sort of constrain t which is important in unlikely\nintersection theory is that of a Galois- orbit lower bound: an\ninequality $h(s) \le poly([K(s) : K])$\, where $h$ is some logarithmic\nWeil height and $K(s)$ is the field of definition of $s$. Recent work\nhas focused on how to use $G$-functions constructed from degenerations\nof $g$ to produce such inequalities.\n\nWe describe some n ew results in the case where $g$ is a one-parameter\ndegeneration of surfa ces\, and the central role played by rigid and\n'adelic' geometry. DTSTART:20260316T193000Z DTEND:20260316T203000Z LAST-MODIFIED:20260309T131912Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-53 END:VEVENT BEGIN:VEVENT UID:979d3c28-9bfd-469d-adbe-3cf7cdff30f7-0 DTSTAMP:20260314T174903Z CREATED:20260122T150242Z DESCRIPTION:Topic: Reverse Mathematics of Complexity Lower Bounds\, Part II \n\nSpeakers: Hanlin Ren\, Institute for Advanced Study\n\nMore: https://w ww.ias.edu/math/events/computer-sciencediscrete-mathematics-seminar-ii-616 \n\nWhy is it so hard to prove P != NP\, or even to prove super-linear\nci rcuit lower bounds? While we often blame a lack of combinatorial\ningenuit y\, the bottleneck might be more fundamental: the logical\nstrength of our mathematical tools.\n\nThis series of talks explores the 'Reverse Mathema tics' of complexity\ntheory. Instead of asking what lower bounds we can pr ove\, we ask: What\naxioms are *strictly necessary* to prove certain lower bounds? By\nre-examining established lower bounds through the lens of fea sible\nmathematics\, we find that many complexity lower bounds are actuall y\nbasic combinatorial principles in disguise.\n\nWe will focus on two int riguing phenomena:\n\n * Lower bounds as basic principles in disguise: We r evisit Maass's\nclassical lower bound (STOC'84) that one-tape Turing machi nes require\nquadratic time to recognize Palindromes. We show that this lo wer bound\nis logically equivalent to the weak pigeonhole principle over a base\ntheory of feasible reasoning ('PV').\n * The minimum theory for hard ness: Proving lower bounds for the\nResolution proof system requires a spe cific threshold of logical\nstrength ('T^1_2 + dwPHP(PV)'\, or\, 'rwPHP(PL S)'). Remarkably\, this\nrequirement is intrinsic to the Resolution system itself\, independent\nof which specific hard tautology we are analyzing. \n\nIn this series of two talks\, I will introduce the framework of revers e\nmathematics for complexity lower bounds and present results\nillustrati ng the two phenomena above. No prior knowledge about bounded\narithmetic i s assumed.\n\nThese talks are based on the following papers:\n\n * Oliver K orten. Derandomization from Time-Space Tradeoffs. CCC'22\n * Lijie Chen\, J iatu Li\, and Igor Oliveira. Reverse Mathematics of\nComplexity Lower Boun ds. FOCS'24\n * Jiawei Li\, Yuhao Li\, and Hanlin Ren. Finding Bugs in… DTSTART:20260317T143000Z DTEND:20260317T163000Z LAST-MODIFIED:20260306T182108Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-616 END:VEVENT BEGIN:VEVENT UID:cf9f63eb-ca78-436b-85a5-c7bcc4be1fe5-0 DTSTAMP:20260314T174903Z CREATED:20251223T202939Z DESCRIPTION:Topic: A Contact Flow Category\n\nSpeakers: Soham Chanda\, Univ ersity of Southern California\n\nMore: https://www.ias.edu/math/events/joi nt-iaspu-symplectic-geometry-seminar-25\n\nWe adapt the construction of gl obal Kuranishi charts to the moduli\nspace of genus 0 SFT buildings. Using these charts\, we associate a\nflow category with any non-degenerate cont act manifold where the\nobjects are collections of Reeb orbits and morphis ms are moduli of\nbuildings. This is joint work with Amanda Hirschi. DTSTART:20260317T170000Z DTEND:20260317T180000Z LAST-MODIFIED:20260313T144546Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -25 END:VEVENT BEGIN:VEVENT UID:1f2c8ec2-37d2-423a-97a5-6488333e5415-0 DTSTAMP:20260314T174903Z CREATED:20251215T162130Z DESCRIPTION:Topic: Random Dynamics on Surfaces\n\nSpeakers: Homin Lee\, Kor ea Institute for Advanced Study (KIAS)\n\nMore: https://www.ias.edu/math/e vents/joint-iaspu-groups-and-dynamics-seminar-52\n\nIn this talk\, we will discuss random dynamical systems and group\nactions on surfaces given by diffeomorphisms. We will mostly focus on\nthe absolutely continuity of sta tionary measures\, the classification\nof orbit closures\, and the exact d imensionality of stationary\nmeasures. This talk is mostly based on joint work with Aaron Brown\,\nDavi Obata\, and Yuping Ruan. DTSTART:20260317T203000Z DTEND:20260317T213000Z LAST-MODIFIED:20260310T144558Z LOCATION:314 Fine Hall SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -52 END:VEVENT BEGIN:VEVENT UID:37d3089b-5176-4db2-844c-4c0207f6d843-0 DTSTAMP:20260314T174903Z CREATED:20251203T145732Z DESCRIPTION:Topic: Learning from Complexity\n\nSpeakers: Maryanthe Malliari s\, University of Chicago\n\nMore: https://www.ias.edu/math/events/hermann -weyl-lectures-38\n\nHilbert\, motivating his list of 23 problems\, mentio ns the arithmetical\nformulation of the concept of the continuum in the wo rks of Cauchy\,\nBolzano and Cantor\, and the discovery of non-Euclidean g eometry by\nGauss\, Bolyai and Lobachevsky\, as outstanding mathematical\n achievements of the nineteenth century\, to explain starting out with\nsom e problems in these areas. In both we see the power of definitions\nand th e power of investigating the interaction of axioms and models.\nAs mathema ticians\, we may want to think about both of these points\nmathematically\ , and doing so notably gives rise to the field of model\ntheory.\n\nInform ally\, model theory begins with objects such as theories (sets of\naxioms) and models (a combinatorial blueprint of a mathematical\nstructure)\; the n builds objects such as types (possible limit points\nof models) and ultr apowers (models arising as infinite averages of\nother models). In the six ties\, at the beginning of the modern field\,\nKeisler suggested studying saturation of regular ultrapowers:\ninformally\, how likely these infinite averages are to contain all\ntheir limit points. Progress on this particu lar problem was slow\, but\nhas been interconnected with some of the major ideas in the field\,\nsuch as Shelah's development of the global side of stability (stable\ntheories are those whose models always have few limit p oints).\n\nIn recent years\, this problem has again advanced\, andwith it the\nunderstanding that some basic model theoretic questions visible in\nt his framework are productively entangled with independent questions\nin a priori different areas\, such as the existence of irregular pairs\nin Szem eredi's regularity lemma\, in combinatorics\; with certain kinds\nof stati stical learning\, such as differential privacy\, in theoretical\ncomputer science\; and with the… DTSTART:20260318T180000Z DTEND:20260318T190000Z LAST-MODIFIED:20260217T155833Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Hermann Weyl Lectures URL:https://www.ias.edu/math/events/hermann-weyl-lectures-38 END:VEVENT BEGIN:VEVENT UID:6de092e1-fff5-4fc6-92eb-c0de4388f393-0 DTSTAMP:20260314T174903Z CREATED:20251216T193635Z DESCRIPTION:Topic: A Radically Condensed History of Transcendental Number T heory\n\nSpeakers: Dmitry Krachun\, Princeton University\n\nMore: https:// www.ias.edu/math/events/mathematical-conversations-313\n\nIt is well-known that the constant e is transcendental\, but many\nproofs of this fact see m opaque with some polynomial appearing to be\npulled out of thin air. The goal of this talk is then to elucidate\nthis proof\, explain how the proo f of $\pi$ being transcendental is\njust one step away\, and\, time permit ting\, mention why the proof for\n$e^\pi$ is not as far as Hilbert predict ed. DTSTART:20260318T220000Z DTEND:20260319T000000Z LAST-MODIFIED:20260313T171725Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-313 END:VEVENT BEGIN:VEVENT UID:b568af37-64cc-4bdc-94b6-6cdae9141fe9-0 DTSTAMP:20260314T174903Z CREATED:20251126T150410Z DESCRIPTION:Topic: Tame Geometry in Quantum Field Theory and Gravity\n\nSpe akers: Thomas Grimm\, Utrecht University and Harvard University\n\nMore: h ttps://www.ias.edu/math/events/special-year-research-seminar-46\n\nIdeas f rom tame geometry have recently begun to find their way into\nquantum fiel d theory and string theory\, suggesting that consistent\neffective theorie s and their observables may admit definable\ndescriptions of finite comple xity. In this talk I will discuss recent\njoint work exploring this perspe ctive and its connections with\narithmetic geometry\, Hodge theory\, and o -minimality. A guiding\nquestion is whether finiteness in physics can be u nderstood as a\nmanifestation of tameness. I will discuss finiteness quest ions for\nspaces of theories and distinguished loci in moduli space\, as w ell as\nstructural constraints on amplitudes and observables. Perturbative ly\,\namplitudes are naturally expressed in terms of period integrals\, wh ile\nbeyond perturbation theory even simple examples seem to force broader \ntame frameworks involving non-analytic\, multisummable phenomena. I\nwil l emphasize the role of complexity\, especially in the sharper\nquantitati ve form suggested by sharp o-minimality\, and the challenge\nof identifyin g the right tame structures for physics. Throughout\, I\nwill indicate som e open questions and directions\, both on the physics\nside and in the mat hematics that these developments bring into focus. DTSTART:20260319T170000Z DTEND:20260319T180000Z LAST-MODIFIED:20260311T120503Z LOCATION:Simonyi 101 SUMMARY:Special Year Research Seminar URL:https://www.ias.edu/math/events/special-year-research-seminar-46 END:VEVENT BEGIN:VEVENT UID:cd807a1a-f073-4c81-bad1-5c32db8527ca-0 DTSTAMP:20260314T174903Z CREATED:20260114T145103Z DESCRIPTION:Topic: The Large Sieve Inequality and Additive Decompositions o f Sums of Squares\n\nSpeakers: Julia Stadlmann\, University of Illinois Ur bana-Champaign\n\nMore: https://www.ias.edu/math/events/joint-puias-number -theory-58\n\nOstmann’s problem asks if there are sets $A1$ and $A2$ with $|A1|\,\n|A2| > 1$ so that the sumset $A1 + A2$ differs from the set of pr imes\nby only finitely many elements. It is believed that no such $A1$ and \n$A2$ exist\, but to date the problem remains open. A major obstacle to\n the resolution of Ostmann's problem is the treatment of $A1$ and $A2$\nwhi ch both occupy approximately half the residue classes mod p for\nlarge pri mes p\, and an example of such a set are the squares.\nMotivated by this o bstacle\, we study additive decompositions of sums\nof squares.\n\nAlthoug h the set of sums of two squares can be written as a sumset in\nuncountabl y many different ways\, any non-trivial sumset decomposition\nmust consist of two sets of roughly equal size: We show that if $|A1|\,\n|A2| > 1$ and $A1+A2$ is the set of squares\, then $sqrt(x)/(log\nx)^(7/2) << |A1 ∩ [1\ ,x]|\, |A2 ∩ [1\,x]| << sqrt(x)*(log x)^3$. The\nkey ingredient of our pro of is a new large sieve bound for sets which\nare missing various residue classes modulo prime squares. That bound\nis a significant improvement ove r the corresponding Johnsen-Selberg\nsieve inequality for certain interest ing residue class configurations\nmodulo prime squares. This is joint work with Christian Elsholtz. DTSTART:20260319T193000Z DTEND:20260319T203000Z LAST-MODIFIED:20260313T131511Z LOCATION:*Princeton University\, Fine 214* SUMMARY:Joint PU/IAS Number Theory URL:https://www.ias.edu/math/events/joint-puias-number-theory-58 END:VEVENT BEGIN:VEVENT UID:5fc27ccc-2131-4232-9859-6bd54e16f8ca-0 DTSTAMP:20260314T174903Z CREATED:20251223T194154Z DESCRIPTION:Topic: Legendrian Barriers\n\nSpeakers: Emmanuel Opshtein\, Ins titut de Recherche Mathématique Avancée\, Strasbourg\n\nMore: https://www. ias.edu/math/events/iasprincetonmontrealparistel-aviv-symplectic-geometry- zoominar-29\n\nIn a previous work with Felix Schlenk\, we showed that an a nalogue of\nthe phenomenon of Lagrangian barriers holds in the contact fra mework\nin $S^3$ : there exist (explicit) Legendrian complexes of arcs in \n$S^3$ that have short Reeb chords to many Legendrian loops. The aim of\n this talk is to explain that this phenomenon holds more generally in\nany prequantization bundle (of arbitrary dimension).  DTSTART:20260320T131500Z DTEND:20260320T144500Z LAST-MODIFIED:20260313T144830Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-29 END:VEVENT BEGIN:VEVENT UID:137fcb49-fc4f-45a9-aeeb-6a2f62aed53f-0 DTSTAMP:20260314T174903Z CREATED:20251203T145749Z DESCRIPTION:Topic: Learning from Complexity \n\nSpeakers: Maryanthe Malliar is\, University of Chicago\n\nMore: https://www.ias.edu/math/events/herman n-weyl-lectures-39\n\nHilbert\, motivating his list of 23 problems\, menti ons the arithmetical\nformulation of the concept of the continuum in the w orks of Cauchy\,\nBolzano and Cantor\, and the discovery of non-Euclidean geometry by\nGauss\, Bolyai and Lobachevsky\, as outstanding mathematical \nachievements of the nineteenth century\, to explain starting out with\ns ome problems in these areas. In both we see the power of definitions\nand the power of investigating the interaction of axioms and models.\nAs mathe maticians\, we may want to think about both of these points\nmathematicall y\, and doing so notably gives rise to the field of model\ntheory.\n\nInfo rmally\, model theory begins with objects such as theories (sets of\naxiom s) and models (a combinatorial blueprint of a mathematical\nstructure)\; t hen builds objects such as types (possible limit points\nof models) and ul trapowers (models arising as infinite averages of\nother models). In the s ixties\, at the beginning of the modern field\,\nKeisler suggested studyin g saturation of regular ultrapowers:\ninformally\, how likely these infini te averages are to contain all\ntheir limit points. Progress on this parti cular problem was slow\, but\nhas been interconnected with some of the maj or ideas in the field\,\nsuch as Shelah's development of the global side o f stability (stable\ntheories are those whose models always have few limit points).\n\nIn recent years\, this problem has again advanced\, andwith i t the\nunderstanding that some basic model theoretic questions visible in \nthis framework are productively entangled with independent questions\nin a priori different areas\, such as the existence of irregular pairs\nin S zemeredi's regularity lemma\, in combinatorics\; with certain kinds\nof st atistical learning\, such as differential privacy\, in theoretical\ncomput er science\; and with the… DTSTART:20260320T180000Z DTEND:20260320T190000Z LAST-MODIFIED:20260217T155911Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Hermann Weyl Lectures URL:https://www.ias.edu/math/events/hermann-weyl-lectures-39 END:VEVENT BEGIN:VEVENT UID:c5573499-7e50-4b70-bb5a-9ac35bb66b91-0 DTSTAMP:20260314T174903Z CREATED:20260129T131915Z DESCRIPTION:Topic: Geometric Satake V: Derived Satake\n\nSpeakers: Quanlin Chen\, Princeton University\n\nMore: https://www.ias.edu/math/events/learn ing-seminar-geometric-representation-theory-6 DTSTART:20260320T180000Z DTEND:20260320T200000Z LAST-MODIFIED:20260203T182753Z LOCATION:Bloomberg Lecture Hall (BH-101) SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-6 END:VEVENT BEGIN:VEVENT UID:2aefdc75-b094-4bb4-8517-69e441a5466c-0 DTSTAMP:20260314T174903Z CREATED:20251124T152556Z DESCRIPTION:Topic: Extended VC-dimension and Radon Type Theorems for Unions of Convex Sets\n\nSpeakers: Noga Alon\, Princeton University\n\nMore: htt ps://www.ias.edu/math/events/computer-sciencediscrete-mathematics-seminar- i-616\n\nWe define and study an extension of the notion of the VC-dimensio n of\na hypergraph and apply it to establish a Tverberg type theorem for\n unions of convex sets. We also prove a new Radon type theorem for\nunions of convex sets\, settling an open problem posed by Kalai in the\n1970s.\n \nJoint work with Shakhar Smorodinsky. DTSTART:20260323T150000Z DTEND:20260323T160000Z LAST-MODIFIED:20260302T180355Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-616 END:VEVENT BEGIN:VEVENT UID:afe5bff0-c66e-43b5-bae8-0eabe3fdff54-0 DTSTAMP:20260314T174903Z CREATED:20251208T184510Z DESCRIPTION:Topic: TBA\n\nSpeakers: Linquan Ma\, Institute for Advanced Stu dy\n\nMore: https://www.ias.edu/math/events/members-colloquium-103\n\nTBA DTSTART:20260323T173000Z DTEND:20260323T183000Z LAST-MODIFIED:20260123T182332Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-103 END:VEVENT BEGIN:VEVENT UID:830f3626-01fe-46b3-9d1b-1fcbb20913c4-0 DTSTAMP:20260314T174903Z CREATED:20260304T135937Z DESCRIPTION:Topic: Existence and Regularity of Nonlocal Minimal Surfaces\n \nSpeakers: Michele Caselli\, Princeton University\n\nMore: https://www.ia s.edu/math/events/analysis-and-mathematical-physics-78\n\nIn the '80s\, Ya u conjectured that every closed Riemannian 3-manifold\ncontains infinitely many smooth minimal hypersurfaces. In this talk\, I\nwill present a Yau-t ype existence result for nonlocal minimal surfaces\nand discuss how one ca n recover the classical Yau's conjecture from\nit. The main tools are min- max methods for the fractional perimeter\nand a compactness/regularity the ory for the associated critical\npoints\, which gives smoothness in low di mensions and a small singular\nset in higher dimensions. Time permitting\, I will discuss a broader\nprogram about extending these ideas to higher c odimension. DTSTART:20260323T183000Z DTEND:20260323T193000Z LAST-MODIFIED:20260304T140135Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-78 END:VEVENT BEGIN:VEVENT UID:17d50996-5c32-43fe-9ca9-92f8ff70d40e-0 DTSTAMP:20260314T174903Z CREATED:20251126T151008Z DESCRIPTION:Topic: TBA\n\nSpeakers: Germán Stefanich\, MPIM Bonn\n\nMore: h ttps://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-46 DTSTART:20260323T193000Z DTEND:20260323T203000Z LAST-MODIFIED:20260127T142619Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-46 END:VEVENT BEGIN:VEVENT UID:3a19e1e3-4871-45b3-970d-d2044ad4683b-0 DTSTAMP:20260314T174903Z CREATED:20260202T162631Z DESCRIPTION:Topic: Isoperimetry\, Spectral Geometry and Stability of Soap-B ubble Clusters\n\nSpeakers: Emanuel Milman\, Technion Israel Institute of Technology\n\nMore: https://www.ias.edu/math/events/joint-iaspu-analysis-s eminar-18\n\nWe develop the spectral analysis of the Jacobi operator on th e\ninterfaces of soap-bubble clusters. By Plateau's laws\, these always\nm eet in threes at $120^{\circ}$-angles\, and thus naturally interact\nvia 3 linearly independent 'conformal' boundary conditions (a mixture\nof Diric hlet and Robin). This gives rise to a self-adjoint operator\,\nwhose spect ral properties determine the \emph{stability} of the\nsoap-bubbles -- whet her an infinitesimal regular perturbation\npreserving volume to first orde r yields a non-negative second\nvariation of area modulo the volume constr aint. In essence\, stability\nis an infinitesimal notion of local isoperim etry\, amounting to\nverifying a Poincar\'e-type inequality on soap-bubble clusters.\n\nWe verify that for all $n \geq 3$ and $2 \leq k \leq n+1$\, the\nstandard $k$-bubble clusters in $n$-dimensional Euclidean\, spherical \nand hyperbolic spaces\, which are conjectured to be global\nisoperimetri c minimizers of total perimeter\, are indeed stable. In\nfact\, stability holds for all M\'obius-flat \emph{partitions}\, in\nwhich several cells ar e allowed to have infinite volume. In the\nGaussian setting (when volume a nd area are weighted relative to the\nGaussian density)\, any partition ob eying Plateau's laws and whose\ninterfaces are all \emph{flat}\, is stable . Our proof relies on a new\nconjugated Brascamp-Lieb inequality on partit ions with conformally\nflat umbilical boundary\, and the construction of a good conformally\nflattening boundary potential.\n\nBased on joint work w ith Botong Xu.  DTSTART:20260323T193000Z DTEND:20260323T203000Z LAST-MODIFIED:20260309T130046Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Analysis Seminar URL:https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-18 END:VEVENT BEGIN:VEVENT UID:9eb7eec9-82ba-4628-b7fc-8f2a9fe3f043-0 DTSTAMP:20260314T174903Z CREATED:20260202T162415Z DESCRIPTION:Topic: A Converse Theorem for Hyperbolic Surface Spectra and th e Conformal Bootstrap\n\nSpeakers: Anshul Adve \, Princeton University\n\n More: https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-17\n\nG iven a compact hyperbolic surface of fixed topology\, we consider its\nLap lace eigenvalues together with the structure constants for\nmultiplication with respect to a suitable orthonormal basis of Laplace\neigenforms. Thes e numbers obey algebraic constraints analogous to the\nconformal bootstrap equations in physics. The main result of this talk\nis a converse theorem for these constraints: any collection of numbers\nsatisfying the constrai nts must come from a hyperbolic surface. \n\nI will also briefly mention a pplications of these constraints to upper\nbounds for spectral gaps and su bconvex bounds for L-functions. No\nknowledge of physics or L-functions wi ll be assumed. DTSTART:20260323T203000Z DTEND:20260323T213000Z LAST-MODIFIED:20260309T132032Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Analysis Seminar URL:https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-17 END:VEVENT BEGIN:VEVENT UID:a8d574f6-d191-460c-87d2-256f67280995-0 DTSTAMP:20260314T174903Z CREATED:20260203T191354Z DESCRIPTION:More: https://www.ias.edu/math/events/computer-sciencediscrete- mathematics-seminar-ii-617 DTSTART:20260324T143000Z DTEND:20260324T163000Z LAST-MODIFIED:20260302T180433Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-617 END:VEVENT BEGIN:VEVENT UID:4574ee1f-b6e2-4898-bc6b-a3687c4dd109-0 DTSTAMP:20260314T174903Z CREATED:20251223T201843Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/joint-iaspu -symplectic-geometry-seminar-16 DTSTART:20260324T170000Z DTEND:20260324T180000Z LAST-MODIFIED:20260204T183818Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -16 END:VEVENT BEGIN:VEVENT UID:78838221-227f-4714-aca3-6c2b79a665ab-0 DTSTAMP:20260314T174903Z CREATED:20251215T161337Z DESCRIPTION:Topic: TBA\n\nSpeakers: Tsachik Gelander\, Northwestern Univers ity\n\nMore: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynami cs-seminar-48 DTSTART:20260324T203000Z DTEND:20260324T213000Z LAST-MODIFIED:20260310T144901Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -48 END:VEVENT BEGIN:VEVENT UID:84e0ffc3-5798-4bdc-9d7e-0c9598560c23-0 DTSTAMP:20260314T174903Z CREATED:20251208T190851Z DESCRIPTION:Topic: TBA\n\nSpeakers: Kenz Kallal\, Princeton University\n\nM ore: https://www.ias.edu/math/events/joint-iaspu-number-theory-9\n\nTBA DTSTART:20260326T193000Z DTEND:20260326T203000Z LAST-MODIFIED:20260217T162425Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-9 END:VEVENT BEGIN:VEVENT UID:94f4106f-7182-4d98-afb6-8af36524f6e1-0 DTSTAMP:20260314T174903Z CREATED:20251223T194222Z DESCRIPTION:Topic: TBA\n\nSpeakers: Ko Honda\, UCLA\n\nMore: https://www.ia s.edu/math/events/iasprincetonmontrealparistel-aviv-symplectic-geometry-zo ominar-30 DTSTART:20260327T131500Z DTEND:20260327T144500Z LAST-MODIFIED:20260225T184804Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-30 END:VEVENT BEGIN:VEVENT UID:f7da573a-a0bf-474a-a66f-1d66b5bf65c3-0 DTSTAMP:20260314T174903Z CREATED:20260129T132110Z DESCRIPTION:Topic: Springer and Steinberg Varieties\n\nSpeakers: Mingjia Zh ang\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/event s/learning-seminar-geometric-representation-theory-9 DTSTART:20260327T180000Z DTEND:20260327T200000Z LAST-MODIFIED:20260203T184341Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-9 END:VEVENT BEGIN:VEVENT UID:db70ddc2-abd6-4359-99b7-5b757b0d6940-0 DTSTAMP:20260314T174903Z CREATED:20260202T151408Z DESCRIPTION:Topic: A General Quantum Duality for Representations of Groups with Applications to Quantum Money\, Lightning\, and Fire\n\nSpeakers: Bar ak Nehoran\, Columbia University\n\nMore: https://www.ias.edu/math/events/ computer-sciencediscrete-mathematics-seminar-i-615\n\nNote: This talk will involve quantum computing\, cryptography\, and\nrepresentation theory\, b ut no background in any of these will be\nnecessary to understand it. I'll introduce everything from the basics.\n\nAaronson\, Atia\, and Susskind ( 2020) established that efficiently\nmapping between two quantum states |ψ⟩ and |φ⟩ is\ncomputationally equivalent to distinguishing their superposit ions\n1/√2(|ψ⟩ + |φ⟩) and 1/√2(|ψ⟩ − |φ⟩). We generalize\nthis insight int o a broader duality principle in quantum computation\,\nwherein manipulati ng quantum states in one basis is equivalent to\nextracting their value in a complementary basis. In its most general\nform\, this duality principle states that for a given group\, the\nability to implement a unitary repre sentation of the group is\ncomputationally equivalent to the ability to pe rform a Fourier\nextraction from the invariant subspaces corresponding to its\nirreducible representations.\n\n(1) Building on our duality principle \, we present the following\napplications:\nQuantum money\, which captures quantum states that are verifiable but\nunclonable\, was first discovered by Columbia graduate student Stephen\nWiesner in 1968\, and initiated the field of quantum cryptography. The\npublic-key version of quantum money\, and its stronger variant\, quantum\nlightning\, have long resisted constr uctions based on concrete\ncryptographic assumptions. While (public-key) q uantum money has been\nconstructed from indistinguishability obfuscation ( iO)—an assumption\nwidely considered too strong—quantum lightning has not been\nconstructed from any such assumptions\, with previous attempts based on\nassumptions that were later broken. We present the first construction \nof quantum lightning with a rigorous security proof\, grounded in a\npla usible and well-founded cryptographic assumption… DTSTART:20260330T150000Z DTEND:20260330T160000Z LAST-MODIFIED:20260224T125049Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-615 END:VEVENT BEGIN:VEVENT UID:e7f9c17d-efc1-446a-b091-fa87e37e74ad-0 DTSTAMP:20260314T174903Z CREATED:20260213T134800Z DESCRIPTION:Topic: Multi-scale Analysis in Projection Theory \n\nSpeakers: Hong Wang\, NYU\n\nMore: https://www.ias.edu/math/events/emmy-noether-lect ure-series\n\n \n_Sponsored by the Minerva Research Foundation_\n\nAbstrac t: Projection theory asks how the size of a set in\n$R^n$—often measured b y Hausdorff dimension—behaves under\nprojections onto lower-dimensional sp aces\, both for orthogonal\nprojections and for more general nonlinear fam ilies. One would like to\nunderstand when dimension is typically preserved and to control the\n(often small) exceptional set of directions or parame ters where it is\nnot. \n\nIn this lecture series we study how to find str uctures in an arbitrary\nset in $R^n$ and how those structures can be used to prove projection\nestimates.  We will survey discretized and multi-sca le ideas\ninitiated by Bourgain and developed further by Shmerkin\, Orpone n\, and\nothers\, which yield recent progress on projection problems. \n\n   DTSTART:20260330T180000Z DTEND:20260330T190000Z LAST-MODIFIED:20260303T125318Z LOCATION:Simonyi Hall 101 SUMMARY:Emmy Noether Lecture Series URL:https://www.ias.edu/math/events/emmy-noether-lecture-series END:VEVENT BEGIN:VEVENT UID:c05df31e-ae2d-439b-8ba0-fec5a95142ee-0 DTSTAMP:20260314T174903Z CREATED:20251201T180857Z DESCRIPTION:Topic: A Classifying Space for the Handlebody Group\n\nSpeakers : Dan Petersen\, Institute for Advanced Study\n\nMore: https://www.ias.edu /math/events/joint-iaspu-arithmetic-geometry-55\n\nWe use Teichmüller theo ry to construct a new geometric model for the\nclassifying space of the ma pping class group of a three-dimensional\nhandlebody. Two consequences are obtained: (i) Chan-Galatius-Payne\nhave shown that the homology of Kontse vich's commutative graph complex\ninjects into the homology of the mapping class groups of surfaces\,\nproducing an enormous amount of highly unstab le homology classes. We\nshow that this homomorphism factors through the h omology of the\ncorresponding handlebody mapping class groups. (ii) The ha ndlebody\nmapping class group is a virtual duality group in the sense of\n Bieri-Eckmann\, with dualizing module given by a certain complex of\nnonsi mple disk systems\; the analogous result for mapping class groups\nof surf aces is a theorem of Harer. \n\n(Joint with Louis Hainaut and with Ric Wad e.)  DTSTART:20260330T193000Z DTEND:20260330T203000Z LAST-MODIFIED:20260127T142946Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-55 END:VEVENT BEGIN:VEVENT UID:3f7528cb-d160-42ee-a08c-d1c413ba4752-0 DTSTAMP:20260314T174903Z CREATED:20251223T203036Z DESCRIPTION:Topic: TBA\n\nSpeakers: Lisa Traynor\, Bryn Mawr College\n\nMor e: https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -26 DTSTART:20260331T170000Z DTEND:20260331T180000Z LAST-MODIFIED:20260210T164537Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -26 END:VEVENT BEGIN:VEVENT UID:00612e76-c372-400a-8d21-229b32e0e286-0 DTSTAMP:20260314T174903Z CREATED:20260213T135023Z DESCRIPTION:Topic: Multi-scale Analysis in Projection Theory \n\nSpeakers: Hong Wang\, NYU\n\nMore: https://www.ias.edu/math/events/emmy-noether-lect ure-series-0\n\n \n_Sponsored by the Minerva Research Foundation_\n\nAbstr act: Projection theory asks how the size of a set in\n$R^n$—often measured by Hausdorff dimension—behaves under\nprojections onto lower-dimensional spaces\, both for orthogonal\nprojections and for more general nonlinear f amilies. One would like to\nunderstand when dimension is typically preserv ed and to control the\n(often small) exceptional set of directions or para meters where it is\nnot.\n\nIn this lecture series we study how to find st ructures in an arbitrary\nset in $R^n$ and how those structures can be use d to prove projection\nestimates.  We will survey discretized and multi-sc ale ideas\ninitiated by Bourgain and developed further by Shmerkin\, Orpon en\, and\nothers\, which yield recent progress on projection problems.  DTSTART:20260331T180000Z DTEND:20260331T190000Z LAST-MODIFIED:20260303T125349Z LOCATION:Simonyi Hall 101 SUMMARY:Emmy Noether Lecture Series URL:https://www.ias.edu/math/events/emmy-noether-lecture-series-0 END:VEVENT BEGIN:VEVENT UID:e59a3ac5-fb98-4425-957f-a4635e50ae0b-0 DTSTAMP:20260314T174903Z CREATED:20251216T193726Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/mathematica l-conversations-315 DTSTART:20260401T220000Z DTEND:20260402T000000Z LAST-MODIFIED:20251216T193746Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-315 END:VEVENT BEGIN:VEVENT UID:8afef6c4-b90d-4d1a-b0c1-ad774b02639d-0 DTSTAMP:20260314T174903Z CREATED:20260114T145124Z DESCRIPTION:Topic: TBA\n\nSpeakers: Robert Lemke Oliver\, University of Wis consin\n\nMore: https://www.ias.edu/math/events/joint-puias-number-theory- 59\n\nTBA DTSTART:20260402T193000Z DTEND:20260402T203000Z LAST-MODIFIED:20260202T154731Z LOCATION:*Princeton University\, Fine 214* SUMMARY:Joint PU/IAS Number Theory URL:https://www.ias.edu/math/events/joint-puias-number-theory-59 END:VEVENT BEGIN:VEVENT UID:f40e2bda-5496-4e46-85cc-240a060735a3-0 DTSTAMP:20260314T174903Z CREATED:20260129T132004Z DESCRIPTION:Topic: Iwahori Hecke Algebra and Their Representations\n\nSpeak ers: Naomi Sweeting\, Princeton University\n\nMore: https://www.ias.edu/ma th/events/learning-seminar-geometric-representation-theory-7 DTSTART:20260403T180000Z DTEND:20260403T200000Z LAST-MODIFIED:20260203T182955Z LOCATION:Bloomberg Lecture Hall (BH-101) SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-7 END:VEVENT BEGIN:VEVENT UID:33e336e5-60fe-43a4-b778-60e2c1302908-0 DTSTAMP:20260314T174903Z CREATED:20260213T135049Z DESCRIPTION:Topic: Multi-scale Analysis in Projection Theory\n\nSpeakers: H ong Wang\, NYU\n\nMore: https://www.ias.edu/math/events/emmy-noether-lectu re-series-1\n\n \n_Sponsored by the Minerva Research Foundation_\n\nAbstra ct: Projection theory asks how the size of a set in\n$R^n$—often measured by Hausdorff dimension—behaves under\nprojections onto lower-dimensional s paces\, both for orthogonal\nprojections and for more general nonlinear fa milies. One would like to\nunderstand when dimension is typically preserve d and to control the\n(often small) exceptional set of directions or param eters where it is\nnot.\n\n \n\nIn this lecture series we study how to fin d structures in an arbitrary\nset in $R^n$ and how those structures can be used to prove projection\nestimates.  We will survey discretized and mult i-scale ideas\ninitiated by Bourgain and developed further by Shmerkin\, O rponen\, and\nothers\, which yield recent progress on projection problems.   DTSTART:20260403T180000Z DTEND:20260403T190000Z LAST-MODIFIED:20260303T125436Z LOCATION:Simonyi Hall 101 SUMMARY:Emmy Noether Lecture Series URL:https://www.ias.edu/math/events/emmy-noether-lecture-series-1 END:VEVENT BEGIN:VEVENT UID:002fb42f-2a50-4561-a394-00940fb6c05f-0 DTSTAMP:20260314T174903Z CREATED:20251124T152630Z DESCRIPTION:Speakers: Jiatu Li \, Massachusetts Institute of Techology\n\nM ore: https://www.ias.edu/math/events/computer-sciencediscrete-mathematics- seminar-i-620 DTSTART:20260406T150000Z DTEND:20260406T160000Z LAST-MODIFIED:20260302T181637Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-620 END:VEVENT BEGIN:VEVENT UID:7a6f8194-dfa9-4bd7-8d8d-a2bbc1b065e1-0 DTSTAMP:20260314T174903Z CREATED:20251208T184556Z DESCRIPTION:Topic: The AD+ Duality Program\n\nSpeakers: Hugh Woodin\, Harva rd University\n\nMore: https://www.ias.edu/math/events/members-colloquium- 102\n\nThe study of descriptive set theory in the context of determinacy\n axioms began nearly 60 years ago. The context for this study is now\nunder stood to be the Axiom AD+\, which is a refinement of the Axiom of\nDetermi nacy (AD).  The objects of this study are the universally\nBaire sets of r eals which form a transfinite  hierarchy which extends\nthe borel sets.\n \nThis has led to what is arguably the main duality program of Set\nTheory \, which is the connection between the universally Baire sets\, \nand gene ralizations of L\, the inner model of the universe of sets\nconstructed by Gödel. DTSTART:20260406T173000Z DTEND:20260406T183000Z LAST-MODIFIED:20260309T133131Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-102 END:VEVENT BEGIN:VEVENT UID:4aefe68e-2543-4fc3-b754-bf745320943b-0 DTSTAMP:20260314T174903Z CREATED:20251126T151028Z DESCRIPTION:Topic: TBA\n\nSpeakers: Stefan Patrikis\, Ohio State University \n\nMore: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry- 47 DTSTART:20260406T193000Z DTEND:20260406T203000Z LAST-MODIFIED:20260120T201919Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-47 END:VEVENT BEGIN:VEVENT UID:3c9454fe-5e0d-4709-b973-da72be148664-0 DTSTAMP:20260314T174903Z CREATED:20260205T145926Z DESCRIPTION:Topic: TBA\n\nSpeakers: Dima Sinapova\, Rutgers University\n\nM ore: https://www.ias.edu/math/events/set-theory-group DTSTART:20260406T210000Z DTEND:20260406T220000Z LAST-MODIFIED:20260312T155010Z LOCATION:Simonyi Hall 101 SUMMARY:Set Theory Group URL:https://www.ias.edu/math/events/set-theory-group END:VEVENT BEGIN:VEVENT UID:ee8da28d-eded-4567-a11a-eb647e0e5f41-0 DTSTAMP:20260314T174903Z CREATED:20260203T191502Z DESCRIPTION:Speakers: Zander Kelley\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-semi nar-ii-618 DTSTART:20260407T143000Z DTEND:20260407T163000Z LAST-MODIFIED:20260203T191529Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar II URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-ii-618 END:VEVENT BEGIN:VEVENT UID:a743be96-7bc1-428d-9eba-711140884d0d-0 DTSTAMP:20260314T174903Z CREATED:20251223T201945Z DESCRIPTION:Topic: TBA\n\nSpeakers: Hyunki Min\, University of Georgia\n\nM ore: https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-semin ar-17 DTSTART:20260407T170000Z DTEND:20260407T180000Z LAST-MODIFIED:20260204T183933Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -17 END:VEVENT BEGIN:VEVENT UID:70fd094a-2136-4f63-b3f6-688d64eb51b0-0 DTSTAMP:20260314T174903Z CREATED:20251208T190510Z DESCRIPTION:Topic: TBA\n\nSpeakers: Max Engelstein\, University of Minnesot a-Twin Cities \n\nMore: https://www.ias.edu/math/events/analysis-and-mathe matical-physics-81\n\nTBA DTSTART:20260407T183000Z DTEND:20260407T193000Z LAST-MODIFIED:20260121T135339Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-81 END:VEVENT BEGIN:VEVENT UID:365afb38-474a-4ce0-aa8a-144042f3b9cc-0 DTSTAMP:20260314T174903Z CREATED:20260225T190924Z DESCRIPTION:Topic: Arithmetic on Markoff Surfaces\n\nSpeakers: Daniel Marti n\, Clemson University\n\nMore: https://www.ias.edu/math/events/joint-iasp u-groups-and-dynamics-seminar-53\n\nThe generalized Markoff equation gives rise to a dynamical system via\nthe Markoff group acting on the solution set. This talk considers the\nresulting dynamics over finite fields\, whic h has strong connections\nwith combinatorial group theory and number theor y. Specifically\, we\nfocus on the orbit structure of the Markoff group ac tion\, which\nMcCullough and Wanderley conjecture to be trivial outside of a small\nnumber of exceptional orbits. Cases of this conjecture have been \nverified in recent work of Chen and of Bourgain–Gamburd–Sarnak. We\nwill present new techniques that establish the McCullough–Wanderley\nconjectur e in additional settings. DTSTART:20260407T203000Z DTEND:20260407T213000Z LAST-MODIFIED:20260225T191124Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -53 END:VEVENT BEGIN:VEVENT UID:d8329332-1f12-4e64-8e1a-6b97b677a5bb-0 DTSTAMP:20260314T174903Z CREATED:20260205T150045Z DESCRIPTION:Topic: TBA\n\nSpeakers: Gabriel Goldberg\, University of Califo rnia\, Berkeley\n\nMore: https://www.ias.edu/math/events/set-theory-group- 1 DTSTART:20260408T200000Z DTEND:20260408T210000Z LAST-MODIFIED:20260205T153724Z LOCATION:Simonyi Hall 101 SUMMARY:Set Theory Group URL:https://www.ias.edu/math/events/set-theory-group-1 END:VEVENT BEGIN:VEVENT UID:aaa6ef08-849b-4621-8805-c3495ffca63d-0 DTSTAMP:20260314T174903Z CREATED:20251216T193755Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/mathematica l-conversations-316 DTSTART:20260408T220000Z DTEND:20260409T000000Z LAST-MODIFIED:20251216T193808Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-316 END:VEVENT BEGIN:VEVENT UID:cb3db567-c9c9-44c1-881a-5064a9e141e4-0 DTSTAMP:20260314T174903Z CREATED:20251208T190910Z DESCRIPTION:Topic: TBA\n\nSpeakers: Sug-Woo Shin\, UC Berkley\n\nMore: http s://www.ias.edu/math/events/joint-iaspu-number-theory-10\n\nTBA DTSTART:20260409T193000Z DTEND:20260409T203000Z LAST-MODIFIED:20260123T141545Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-10 END:VEVENT BEGIN:VEVENT UID:7502603b-f874-49b9-bc9c-21211a3cb928-0 DTSTAMP:20260314T174903Z CREATED:20251223T194258Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-31 DTSTART:20260410T131500Z DTEND:20260410T144500Z LAST-MODIFIED:20251223T194320Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-31 END:VEVENT BEGIN:VEVENT UID:fa2eb58c-42f2-4b83-bc44-f7f52f90fb50-0 DTSTAMP:20260314T174903Z CREATED:20260129T132023Z DESCRIPTION:Topic: Gaitsgory's Central Functor I: Construction\n\nSpeakers: Bhargav Bhatt\, Institute for Advanced Study\n\nMore: https://www.ias.edu /math/events/learning-seminar-geometric-representation-theory-8 DTSTART:20260410T180000Z DTEND:20260410T200000Z LAST-MODIFIED:20260313T120421Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-8 END:VEVENT BEGIN:VEVENT UID:c5ca23d7-4dd6-4933-96a4-7b8795bd0ef0-0 DTSTAMP:20260314T174903Z CREATED:20251124T152648Z DESCRIPTION:Speakers: Seyoon Ragavan\, Massachusetts Institute of Technolog y\n\nMore: https://www.ias.edu/math/events/computer-sciencediscrete-mathem atics-seminar-i-621 DTSTART:20260413T150000Z DTEND:20260413T160000Z LAST-MODIFIED:20260226T185911Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-621 END:VEVENT BEGIN:VEVENT UID:ea119201-d92d-42cd-8c2f-5996d70f8e37-0 DTSTAMP:20260314T174903Z CREATED:20251208T184156Z DESCRIPTION:Topic: The Birch and Swinnerton-Dyer Conjecture: An Introductio n and Review\n\nSpeakers: Chris Skinner\, Princeton University\n\nMore: ht tps://www.ias.edu/math/events/members-colloquium-97\n\nThis talk will reca ll the Birch--Swinnerton-Dyer Conjecture and\ndescribe highlights of the p rogress towards it\, both pre- and\npost-millennium.  This will largely be a repeat of the speaker's\nplenary talk from the 2025 Clay Research confe rence on the Millennium\nprize problems. DTSTART:20260413T173000Z DTEND:20260413T183000Z LAST-MODIFIED:20260127T155846Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-97 END:VEVENT BEGIN:VEVENT UID:5c12f678-5393-4026-a17e-0e85cfbfcf2f-0 DTSTAMP:20260314T174903Z CREATED:20251201T180912Z DESCRIPTION:Topic: TBA\n\nSpeakers: Marco D'Adezzio\, IRMA\n\nMore: https:/ /www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-56 DTSTART:20260413T193000Z DTEND:20260413T203000Z LAST-MODIFIED:20260127T142750Z LOCATION:Princeton University\, Fine Hall 224 SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-56 END:VEVENT BEGIN:VEVENT UID:72a90075-98d4-4f1b-b87c-712fbc1ebd31-0 DTSTAMP:20260314T174903Z CREATED:20251223T203133Z DESCRIPTION:Topic: TBA\n\nSpeakers: Octav Cornea\, University of Montreal\n \nMore: https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-se minar-27 DTSTART:20260414T170000Z DTEND:20260414T180000Z LAST-MODIFIED:20260112T165636Z LOCATION:Fine Hall 401 SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -27 END:VEVENT BEGIN:VEVENT UID:878e9574-fac5-4baa-95c5-6f0d115cb264-0 DTSTAMP:20260314T174903Z CREATED:20251208T190537Z DESCRIPTION:Topic: TBA\n\nSpeakers: Bjoern Bringmann\, Princeton University \n\nMore: https://www.ias.edu/math/events/analysis-and-mathematical-physic s-82\n\nTBA DTSTART:20260414T183000Z DTEND:20260414T193000Z LAST-MODIFIED:20260121T135436Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-82 END:VEVENT BEGIN:VEVENT UID:83fd2025-5852-4b27-b4da-7b6ad3ab0d6f-0 DTSTAMP:20260314T174903Z CREATED:20260225T191211Z DESCRIPTION:Topic: TBA\n\nSpeakers: Timothée Bénard\, Sorbonne Paris Nord U niversity\n\nMore: https://www.ias.edu/math/events/joint-iaspu-groups-and- dynamics-seminar-54 DTSTART:20260414T203000Z DTEND:20260414T213000Z LAST-MODIFIED:20260225T191334Z LOCATION:Simonyi 101 SUMMARY:Joint IAS/PU Groups and Dynamics Seminar URL:https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar -54 END:VEVENT BEGIN:VEVENT UID:ca6f0d51-9f8c-4205-8778-a55dfd7213e3-0 DTSTAMP:20260314T174903Z CREATED:20251216T193818Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/mathematica l-conversations-317 DTSTART:20260415T220000Z DTEND:20260416T000000Z LAST-MODIFIED:20251216T193831Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-317 END:VEVENT BEGIN:VEVENT UID:963414a6-3199-492b-883b-9828658a3639-0 DTSTAMP:20260314T174903Z CREATED:20260114T145145Z DESCRIPTION:Topic: TBA\n\nSpeakers: Alexander Bertoloni Meli\, Boston Unive rsity\n\nMore: https://www.ias.edu/math/events/joint-puias-number-theory-6 0\n\nTBA DTSTART:20260416T193000Z DTEND:20260416T203000Z LAST-MODIFIED:20260202T154750Z LOCATION:*Princeton University\, Fine 214* SUMMARY:Joint PU/IAS Number Theory URL:https://www.ias.edu/math/events/joint-puias-number-theory-60 END:VEVENT BEGIN:VEVENT UID:751b2996-5e22-498d-a67a-520ad3592417-0 DTSTAMP:20260314T174903Z CREATED:20251223T194325Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-32 DTSTART:20260417T131500Z DTEND:20260417T144500Z LAST-MODIFIED:20251223T194347Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-32 END:VEVENT BEGIN:VEVENT UID:234a1453-da4b-4e96-9e7d-61e5235da464-0 DTSTAMP:20260314T174903Z CREATED:20260129T132139Z DESCRIPTION:Topic: Gaitsgory's Central Functor II: Centrality\n\nSpeakers: Longke Tang\, Princeton University\n\nMore: https://www.ias.edu/math/event s/learning-seminar-geometric-representation-theory-10 DTSTART:20260417T180000Z DTEND:20260417T200000Z LAST-MODIFIED:20260203T184450Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-10 END:VEVENT BEGIN:VEVENT UID:d9994fda-d704-436f-af80-beb9858eed7b-0 DTSTAMP:20260314T174903Z CREATED:20251124T152703Z DESCRIPTION:Speakers: Guy Rothblum\, Apple & Weizmann Institute of Science \n\nMore: https://www.ias.edu/math/events/computer-sciencediscrete-mathema tics-seminar-i-624 DTSTART:20260420T150000Z DTEND:20260420T160000Z LAST-MODIFIED:20260220T153438Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-624 END:VEVENT BEGIN:VEVENT UID:ca4c6cc5-f255-44de-9f7f-845e49bc80c3-0 DTSTAMP:20260314T174903Z CREATED:20251208T184411Z DESCRIPTION:Topic: Homological Stability of Moduli Spaces\n\nSpeakers: Dan Petersen\, Institute for Advanced Study\n\nMore: https://www.ias.edu/math/ events/members-colloquium-100\n\nHomological stability has emerged over th e past decades as an\norganizing principle in topology and beyond. Broadly speaking\, many\nsequences of moduli spaces exhibit the striking phenomen on that their\nhomology stabilizes as the underlying complexity grows. One of the\nmost remarkable achievements of this paradigm is the proof of the \nMumford conjecture by Madsen and Weiss\, which identifies the stable\nra tional cohomology of the mapping class groups. This resolves a\nquestion o f central importance in algebraic geometry and geometric\ngroup theory\; a ll existing proofs use significant amounts of homotopy\ntheory. In this le cture I will survey some ideas behind homological\nstability and the ubiqu ity of stability phenomena\, and discuss\nconsequences and applications\, particularly in algebraic geometry and\nnumber theory. DTSTART:20260420T173000Z DTEND:20260420T183000Z LAST-MODIFIED:20260226T132832Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-100 END:VEVENT BEGIN:VEVENT UID:ef49f0c6-4156-4482-893f-d5c7c443fb15-0 DTSTAMP:20260314T174903Z CREATED:20251126T151045Z DESCRIPTION:Topic: TBA\n\nSpeakers: Xuhua He\, Chinese University of Hong K ong\n\nMore: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geomet ry-48 DTSTART:20260420T193000Z DTEND:20260420T203000Z LAST-MODIFIED:20260120T201756Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-48 END:VEVENT BEGIN:VEVENT UID:2c3bbed4-30b0-4239-b2bd-ba5d25b528e2-0 DTSTAMP:20260314T174903Z CREATED:20251223T202005Z DESCRIPTION:Topic: TBA\n\nSpeakers: Jae Hee Lee\, Stanford University\n\nMo re: https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-semina r-18 DTSTART:20260421T170000Z DTEND:20260421T180000Z LAST-MODIFIED:20260204T184110Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -18 END:VEVENT BEGIN:VEVENT UID:9652ee8b-022c-47b8-9ee8-79dc581bf050-0 DTSTAMP:20260314T174903Z CREATED:20251208T190553Z DESCRIPTION:Topic: TBA\n\nSpeakers: Luigi De Rosa\, Gran Sasso Science Inst itute\n\nMore: https://www.ias.edu/math/events/analysis-and-mathematical-p hysics-83\n\nTBA DTSTART:20260421T183000Z DTEND:20260421T193000Z LAST-MODIFIED:20260121T135525Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-83 END:VEVENT BEGIN:VEVENT UID:17dbcf65-c1d4-4bd0-baa9-c2539b894209-0 DTSTAMP:20260314T174903Z CREATED:20251216T193835Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/mathematica l-conversations-318 DTSTART:20260422T220000Z DTEND:20260423T000000Z LAST-MODIFIED:20251216T193854Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-318 END:VEVENT BEGIN:VEVENT UID:c15ab769-bc58-464a-aee5-03b5dfbd71d5-0 DTSTAMP:20260314T174903Z CREATED:20251208T190929Z DESCRIPTION:Topic: TBA\n\nSpeakers: Elena Mantovan\, California Institute o f Technology\n\nMore: https://www.ias.edu/math/events/joint-iaspu-number-t heory-11\n\nTBA DTSTART:20260423T193000Z DTEND:20260423T203000Z LAST-MODIFIED:20260123T141806Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-11 END:VEVENT BEGIN:VEVENT UID:4b605284-38d6-4d4d-afc1-9f8c775f6050-0 DTSTAMP:20260314T174903Z CREATED:20251223T194352Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-33 DTSTART:20260424T131500Z DTEND:20260424T144500Z LAST-MODIFIED:20251223T194410Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-33 END:VEVENT BEGIN:VEVENT UID:2e37a99e-1017-4f72-b1f6-a0a53fe43e97-0 DTSTAMP:20260314T174903Z CREATED:20260129T132202Z DESCRIPTION:Topic: Wakimoto Sheaves and Wakimoto Filtration\n\nSpeakers: Xi ngzhu Fang\, Princeton University\n\nMore: https://www.ias.edu/math/events /learning-seminar-geometric-representation-theory-11 DTSTART:20260424T180000Z DTEND:20260424T200000Z LAST-MODIFIED:20260203T184529Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-11 END:VEVENT BEGIN:VEVENT UID:87f2ade3-7a7d-4407-8a85-36142b3081ea-0 DTSTAMP:20260314T174903Z CREATED:20260310T180732Z DESCRIPTION:Topic: TBA\n\nSpeakers: Dalimil Mazac\, Institut de Physique Th éorique - CEA Paris-Saclay\n\nMore: https://www.ias.edu/math/events/analys is-and-mathematical-physics-79\n\nTBA DTSTART:20260424T201500Z DTEND:20260424T211500Z LAST-MODIFIED:20260310T180922Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-79 END:VEVENT BEGIN:VEVENT UID:da03d3a3-8c9e-49b5-a014-8681df46bfdf-0 DTSTAMP:20260314T174903Z CREATED:20251124T152722Z DESCRIPTION:More: https://www.ias.edu/math/events/computer-sciencediscrete- mathematics-seminar-i-625 DTSTART:20260427T150000Z DTEND:20260427T160000Z LAST-MODIFIED:20251202T174851Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-625 END:VEVENT BEGIN:VEVENT UID:14bd9994-bf84-4b13-a990-83fd2c5e7e4c-0 DTSTAMP:20260314T174903Z CREATED:20251208T184647Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/members-col loquium-108\n\nTBA DTSTART:20260427T173000Z DTEND:20260427T183000Z LAST-MODIFIED:20251208T184658Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-108 END:VEVENT BEGIN:VEVENT UID:b7af3a23-3275-4333-b964-9ca8663ed2d6-0 DTSTAMP:20260314T174903Z CREATED:20251126T151101Z DESCRIPTION:Topic: TBA\n\nSpeakers: Alexander Kupers\, University of Toront o\n\nMore: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry -49 DTSTART:20260427T193000Z DTEND:20260427T203000Z LAST-MODIFIED:20260120T201839Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-49 END:VEVENT BEGIN:VEVENT UID:c5a924c2-5cb0-4295-b1ca-1ff284d84384-0 DTSTAMP:20260314T174903Z CREATED:20251223T202114Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/joint-iaspu -symplectic-geometry-seminar-19 DTSTART:20260428T170000Z DTEND:20260428T180000Z LAST-MODIFIED:20251223T202138Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -19 END:VEVENT BEGIN:VEVENT UID:032ad08d-a68d-4acc-b23b-49599fbf15dd-0 DTSTAMP:20260314T174903Z CREATED:20251208T190608Z DESCRIPTION:Topic: TBA\n\nSpeakers: Anna Skorobogatova\, ETH Zürich\n\nMore : https://www.ias.edu/math/events/analysis-and-mathematical-physics-84\n\n TBA DTSTART:20260428T183000Z DTEND:20260428T193000Z LAST-MODIFIED:20260121T135621Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-84 END:VEVENT BEGIN:VEVENT UID:a6a8140d-6c0f-43ee-8604-ae406629f94c-0 DTSTAMP:20260314T174903Z CREATED:20251216T193858Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/mathematica l-conversations-319 DTSTART:20260429T220000Z DTEND:20260430T000000Z LAST-MODIFIED:20251216T193915Z LOCATION:Simons Hall Dilworth Room SUMMARY:Mathematical Conversations URL:https://www.ias.edu/math/events/mathematical-conversations-319 END:VEVENT BEGIN:VEVENT UID:11f8e94b-f2fd-4b26-a3a5-df2245fc26da-0 DTSTAMP:20260314T174903Z CREATED:20251208T190945Z DESCRIPTION:Topic: On the Distribution of Modular Points on Deformation Rin gs\n\nSpeakers: John Bergdall\, University of Arkansas\n\nMore: https://ww w.ias.edu/math/events/joint-iaspu-number-theory-12\n\nThe goal of this tal k is to discuss a new local-global phenomenon in\nthe Langlands program on automorphic forms and Galois\nrepresentations. Spaces of modular forms ar e parametrized by weights\,\nand those same weights parametrize local defo rmation rings defined by\nconditions in p-adic Hodge theory. In the mid-20 00's\, M. Kisin's work\non modularity showed that modular points can be fo und on each and\nevery component of one of these local deformation rings. The purpose\nof this talk is to describe an extension of Kisin's result\, by giving\na specific method for counting how many points a given componen t has\nin terms of that component's special fiber geometry. This is joint \nwork with Chengyang Bao (Imperial College\, London) and Brandon Levin\n( Rice University\, Houston). DTSTART:20260430T193000Z DTEND:20260430T203000Z LAST-MODIFIED:20260217T162512Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-12 END:VEVENT BEGIN:VEVENT UID:5fbaa05c-c861-4d5a-bc0c-2fda3e7dc17e-0 DTSTAMP:20260314T174903Z CREATED:20251223T194446Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-34 DTSTART:20260501T131500Z DTEND:20260501T144500Z LAST-MODIFIED:20251223T194504Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-34 END:VEVENT BEGIN:VEVENT UID:cd16749d-7775-4f5c-bf1c-c38e588677ef-0 DTSTAMP:20260314T174903Z CREATED:20260129T132223Z DESCRIPTION:Topic: Arkhipov-Bezrukavnikov Equivalence I: Construction\n\nSp eakers: Michael Barz\, Princeton University\n\nMore: https://www.ias.edu/m ath/events/learning-seminar-geometric-representation-theory-12 DTSTART:20260501T180000Z DTEND:20260501T200000Z LAST-MODIFIED:20260203T184608Z LOCATION:Simonyi Hall 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-12 END:VEVENT BEGIN:VEVENT UID:812624d6-c06b-4c3d-b240-ed3377836ab9-0 DTSTAMP:20260314T174903Z CREATED:20251124T152752Z DESCRIPTION:More: https://www.ias.edu/math/events/computer-sciencediscrete- mathematics-seminar-i-626 DTSTART:20260504T150000Z DTEND:20260504T160000Z LAST-MODIFIED:20251202T175018Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-626 END:VEVENT BEGIN:VEVENT UID:4a44715c-4b07-4ebe-ad56-4a59fe775a5a-0 DTSTAMP:20260314T174903Z CREATED:20251208T184705Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/members-col loquium-109\n\nTBA DTSTART:20260504T173000Z DTEND:20260504T183000Z LAST-MODIFIED:20251208T184718Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-109 END:VEVENT BEGIN:VEVENT UID:193d0534-668c-4e2c-94b0-6f81c206cf8c-0 DTSTAMP:20260314T174903Z CREATED:20251126T151119Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/joint-iaspu -arithmetic-geometry-50 DTSTART:20260504T193000Z DTEND:20260504T203000Z LAST-MODIFIED:20251126T151130Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Arithmetic Geometry URL:https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-50 END:VEVENT BEGIN:VEVENT UID:bc61eca8-8b6d-49df-aaa4-6b867bd99cec-0 DTSTAMP:20260314T174903Z CREATED:20251223T202158Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/joint-iaspu -symplectic-geometry-seminar-20 DTSTART:20260505T170000Z DTEND:20260505T180000Z LAST-MODIFIED:20251223T202217Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Symplectic Geometry Seminar URL:https://www.ias.edu/math/events/joint-iaspu-symplectic-geometry-seminar -20 END:VEVENT BEGIN:VEVENT UID:be83f89a-a774-4576-b699-378c88e27c9d-0 DTSTAMP:20260314T174903Z CREATED:20251208T190623Z DESCRIPTION:Topic: TBA\n\nSpeakers: Massimo Sorella\, Imperial College Lond on\n\nMore: https://www.ias.edu/math/events/analysis-and-mathematical-phys ics-85\n\nTBA DTSTART:20260505T183000Z DTEND:20260505T193000Z LAST-MODIFIED:20260121T135714Z LOCATION:Simonyi Hall 101 and Remote Access SUMMARY:Analysis and Mathematical Physics URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-85 END:VEVENT BEGIN:VEVENT UID:9917b147-b2ed-4090-893d-cac514d6d759-0 DTSTAMP:20260314T174903Z CREATED:20251208T191004Z DESCRIPTION:Topic: TBA\n\nSpeakers: Frank Calegari\, University of Chicago \n\nMore: https://www.ias.edu/math/events/joint-iaspu-number-theory-13\n\n TBA DTSTART:20260507T193000Z DTEND:20260507T203000Z LAST-MODIFIED:20260123T141913Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Joint IAS/PU Number Theory URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-13 END:VEVENT BEGIN:VEVENT UID:839e23f0-ff8e-4415-bfe5-8f041f6a3172-0 DTSTAMP:20260314T174903Z CREATED:20251223T194509Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-35 DTSTART:20260508T131500Z DTEND:20260508T144500Z LAST-MODIFIED:20251223T194541Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-35 END:VEVENT BEGIN:VEVENT UID:a5e1e4d0-400b-40ac-9107-718c25d8da21-0 DTSTAMP:20260314T174903Z CREATED:20260129T132243Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/learning-se minar-geometric-representation-theory-13 DTSTART:20260508T180000Z DTEND:20260508T200000Z LAST-MODIFIED:20260129T132243Z LOCATION:Simonyi 101 SUMMARY:Learning Seminar on Geometric Representation Theory URL:https://www.ias.edu/math/events/learning-seminar-geometric-representati on-theory-13 END:VEVENT BEGIN:VEVENT UID:16e7a5a7-7df5-42f8-9f3e-376fe5af2cdd-0 DTSTAMP:20260314T174903Z CREATED:20251208T184722Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/members-col loquium-110\n\nTBA DTSTART:20260511T173000Z DTEND:20260511T183000Z LAST-MODIFIED:20251208T184738Z LOCATION:Simonyi 101 and Remote Access SUMMARY:Members' Colloquium URL:https://www.ias.edu/math/events/members-colloquium-110 END:VEVENT BEGIN:VEVENT UID:3c98f6f0-f2bf-43eb-acd9-c3b558d2a83d-0 DTSTAMP:20260314T174903Z CREATED:20251223T194548Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-36 DTSTART:20260515T131500Z DTEND:20260515T144500Z LAST-MODIFIED:20251223T194605Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-36 END:VEVENT BEGIN:VEVENT UID:e73e554a-d265-4d08-b85a-76aa2b79cd3e-0 DTSTAMP:20260314T174903Z CREATED:20260108T190508Z DESCRIPTION:Speakers: Nir Bitansky\, New York University\n\nMore: https://w ww.ias.edu/math/events/computer-sciencediscrete-mathematics-seminar-i-627 DTSTART:20260518T150000Z DTEND:20260518T160000Z LAST-MODIFIED:20260108T190753Z LOCATION:West Lecture Hall and Remote Access SUMMARY:Computer Science/Discrete Mathematics Seminar I URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se minar-i-627 END:VEVENT BEGIN:VEVENT UID:75656d2e-0032-477e-990a-7d8c02c5a1a9-0 DTSTAMP:20260314T174903Z CREATED:20251223T194622Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-37 DTSTART:20260522T131500Z DTEND:20260522T144500Z LAST-MODIFIED:20251223T194641Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-37 END:VEVENT BEGIN:VEVENT UID:26238596-fe34-4a75-aa0d-9bb66f737ef9-0 DTSTAMP:20260314T174903Z CREATED:20251223T194645Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-38 DTSTART:20260529T131500Z DTEND:20260529T144500Z LAST-MODIFIED:20251223T194703Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-38 END:VEVENT BEGIN:VEVENT UID:174657d5-f29b-4ced-9c72-c5cf60e07b0a-0 DTSTAMP:20260314T174903Z CREATED:20260205T150624Z DESCRIPTION:More: https://www.ias.edu/math/events/collaborative-workshop-se veral-complex-variables\n\nSponsored by the Minerva Research Foundation.\n \nThis workshop is by invitation only. DTSTART:20260608T130000Z DTEND:20260612T190000Z LAST-MODIFIED:20260306T185204Z LOCATION: SUMMARY:Collaborative Workshop in Several Complex Variables URL:https://www.ias.edu/math/events/collaborative-workshop-several-complex- variables END:VEVENT BEGIN:VEVENT UID:d3e02285-319d-45e9-ae5f-8776deeae10f-0 DTSTAMP:20260314T174903Z CREATED:20251223T194714Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-39 DTSTART:20260612T131500Z DTEND:20260612T144500Z LAST-MODIFIED:20251223T194740Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-39 END:VEVENT BEGIN:VEVENT UID:3be03a89-d8fb-4224-8ef4-99e9ba3c2124-0 DTSTAMP:20260314T174903Z CREATED:20251223T194743Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-40 DTSTART:20260619T131500Z DTEND:20260619T144500Z LAST-MODIFIED:20251223T194800Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-40 END:VEVENT BEGIN:VEVENT UID:0b944d2d-dae5-4ea9-a849-410d455f5e03-0 DTSTAMP:20260314T174903Z CREATED:20251223T194806Z DESCRIPTION:Topic: TBA\n\nMore: https://www.ias.edu/math/events/iasprinceto nmontrealparistel-aviv-symplectic-geometry-zoominar-41 DTSTART:20260626T131500Z DTEND:20260626T144500Z LAST-MODIFIED:20251223T194823Z LOCATION:Remote Access SUMMARY:IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar URL:https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-sympl ectic-geometry-zoominar-41 END:VEVENT END:VCALENDAR