Previous Conferences & Workshops

Oct
18
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

Contractibility of the space of tight contact structures on $R^3$
Yakov Eliashberg
4:00pm|Simonyi Hall 101

30 years ago I proved that any tight contact structure on the 3-sphere is diffeomorphic to the standard one. I also optimistically claimed at the same paper that similar methods could be used to prove a multi-parametric version: the space of tight...

Oct
18
2021

Members' Colloquium

Higher order Fourier analysis and solving equations in dense sets
Sarah Peluse
2:00pm|Simonyi Hall 101 and Remote Access

Several of the most important problems in combinatorial number theory ask for the size of the largest subset of some abelian group or interval of integers lacking points in some arithmetic configuration. One example of such a question is "What is...

Oct
18
2021

Computer Science/Discrete Mathematics Seminar I

Sharp matrix concentration inequalities
11:15am|Simonyi Hall 101 and Remote Access

What does the spectrum of a random matrix look like when we make no assumption whatsoever about the covariance pattern of its entries?  It may appear hopeless that anything useful can be said at this level of generality. Nonetheless, a widely used...

Oct
15
2021

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Results on abundance of global surfaces of section
Umberto Hryniewicz
9:15am|Remote Access
One might ask if global surfaces of section (GSS) for Reeb flows in dimension 3 are abundant in two different senses. One might ask if GSS are abundant for a given Reeb flow, or if Reeb flows carrying some GSS are abundant in the set of all Reeb...
Oct
14
2021

Joint IAS/Princeton University Number Theory Seminar

Modularity and Heights of CM cycles on Kuga-Sato varieties
Congling Qiu
4:30pm|Fine Hall 214, Princeton University and Remote Access

We study CM cycles on Kuga-Sato varieties over $X(N)$ via theta lifting and relative trace formula. Our first result is the modularity of CM cycles, in the sense that the Hecke modules they generate are semisimple whose irreducible components are...

Oct
14
2021

Discussions in Analysis and Geometry

Reading seminar on papers of Honda-Huang and Breem-Christopher, exploring the notion of convexity in high dimensional contact geometry
2:00pm|Simonyi Hall 101 and Remote Access
Oct
13
2021

Mathematical Conversations

Tangent cones and their uniqueness, maybe a meeting ground for hard analysis and algebraic geometry
Camillo De Lellis
6:00pm|Birch Garden, Simons Hall

In several diverse settings (variational problems and geometric flows, elliptic, parabolic, but also some dispersive PDEs) monotonicity formulas allow to get a first coarse description of singularities, which are commonly called tangent cone. Their...

Oct
13
2021

Arithmetic Groups

First-order rigidity, bi-interpretability, and congruence subgroups
Nir Avni
11:00am|Remote Access
I'll describe a method for analyzing the first-order theory of an arithmetic group using its congruence quotients. When this method works, it gives a strong form of first-order rigidity together with a complete description of the collection of...