Seminars Sorted by Series

Locally conformally symplectic (LCS) manifolds are generalisations of symplectic manifolds where the 2-form is not closed but instead satisfies the identity dω = η ∧ ω for a closed 1-form η. The study of these manifolds is equivalent to that of...

The group of Hamiltonian diffeomorphisms , equipped with the Hofer metric , is a central object in symplectic topology. A landmark result by Polterovich and Shelukhin established the profound geometric complexity of this group for surfaces and their...

This talk, which is based on two joint works, one with Pedro Salomão and Richard Siefring and another with Michael Hutchings and Vinicius Ramos, revolves around the role that restrictions on the knot types of periodic Reeb orbits imposed by the...

Emilia Konrad (Augsburg University) :Construction of Constrained Floer Homology

We consider the symplectic area functional, constrained to loops of vanishing Hamiltonian mean value: It has the same critical points as the Rabinowitz action functional...

In this talk, I will discuss the barcode entropy—the exponential growth rate of the number of not-too-short bars—of the persistence module associated with the relative symplectic cohomology $SH_M(K)$ of a Liouville domain $K$ embedded in a...

In a previous work with Felix Schlenk, we showed that an analogue of the phenomenon of Lagrangian barriers holds in the contact framework in $S^3$ : there exist (explicit) Legendrian complexes of arcs in $S^3$ that have short Reeb chords to many...

Let C be a closed surface and Σ⊂T*C a real exact Lagrangian surface associated to a spectral curve. In this talk we will first try to explain the context of this work (e.g., Higgs bundles and spectral curves). We then construct a homomorphism from...

I will discuss some recent work establishing the orderability of contact manifolds which arise as a quotient of an aspherically fillable manifold by a finite group action which extends (non-freely) to the filling. This generalizes the well known...

The topological entropy of geodesic flows has been extensively studied since the foundational works of Dinaburg and Manning. It measures the exponential complexity of the geodesic flow of a Riemannian manifold, and there are several results...

A well-known result of Abouzaid says that the wrapped Fukaya category of a cotangent bundle is generated by one cotangent fiber. In the filtered case this is not true, but the filtered Fukaya category comes with a notion of interleaving distance. We...

The theory of higher Reidemeister torsion yields characteristic classes of (stable) fiber bundles of smooth manifolds. We use this theory to define a new family of invariants for Legendrians in 1-jet spaces which we collectively call Legendrian...

In this talk, I will describe the global dynamics of the spatial isosceles three-body problem, using ideas from Embedded Contact Homology. For energies below the critical level, the flow admits a disk-like global surface of section bounded by the...

ICM 2022 will be held virtually this year.  Please join Camillo De Lellis, Ronen Eldan, and Avi Wigderson as they give live presentations of their ICM lectures.  The schedule and abstracts are as follows:

• 1:00 PM - Camillo De Lellis, IAS
• 2:00 PM...

Thin groups are finitely generated, infinite index subgroups of arithmetic lattices in Lie groups. Interesting examples come from monodromies of families of algebraic manifolds and in these cases, the "thinness" of monodromy is explained by special...

In his study of the Baum-Connes conjecture, Vincent Lafforgue was lead to study Banach space representations of SL(n>2,F) (for F a local field) which are not by isometries but by operators of slowly growing norm. Classical tools to study unitary...

The classical Lagrange and Markov spectra encode the features of certain Diophantine approximations problems. The first systematic study of these spectra was done by Markov in 1880. Since then, these objects attracted the attention of several...

The purpose of the talk is to explain how additive combinatorics plays a role in recent work on the dimension of self-affine measures generated by maps satisfying a diophantine condition. Under low-entropy or separation assumptions, this problem is...

We show that closed negatively curved locally symmetric spaces are characterized among nearby Riemannian manifolds by the Lyapunov exponents of their geodesic flow along periodic orbits. Our methods extend to locally characterize the geodesic flows...

This talk will give a detailed introduction to the proof of Zimmer's conjecture made in recent work with Brown and Hurtado. The talk will be independent of Monday's member seminar, but I will not repeat history and motivation. I will begin by (re...

Ratner's celebrated equidistribution theorem states that the trajectory of any point in a homogeneous space under a unipotent flow is getting equidistributed with respect to some algebraic measure. In the case where the action is horospherical, one...

The "linearization" technique is a powerful method in homogeneous dynamics to control the time a unipotent orbit spends in the vicinity of a closed homogeneous subset. This method relies on the polynomial nature of a unipotent flow and does not...

Let $X \subset \R^N$ be a Borel set, $\mu$ a Borel probability measure on $X$ and $T:X \to X$ a Lipschitz and injective map. Fix $k \in \N$ greater than the (Hausdorff) dimension of $X$ and assume that the set of $p$-periodic points has dimension...

We will discuss results connecting the titular objects on infinite graphs, including some known results by Varopoulos and Coulhon and Saloff-Coste and some new resutls.

I'll try to explain what we currently understand about the theoretical power of quantum computers, in a way that's accessible to a general math and physics audience. In particular, I'll demolish the popularly-held belief that quantum computing means...

British intelligence agency MI6 in 1939 recruited English mathematician Alan Turing, portrayed by Benedict Cumberbatch, to decipher Nazi codes including Enigma codes. Turing, assisted by Joan Clarke, portrayed by Keira Knightley, worked to analyze...

Both of these talks will be useful preparation for Helmut Hofer's up coming mini-course on polyfold theory on April 4th and 5th

Both of these talks will be useful preparation for Helmut Hofer's up coming mini-course on polyfold theory on April 4th and 5th.

In recent research it has become clear that there are fascinating connections between constructive mathematics, especially as formulated in the type theory of Martin-Löf, and homotopy theory, especially in the modern treatment in terms of Quillen...

The correspondence between homotopy types and higher categorical analogs of groupoids which was first conjectured by Alexander Grothendieck naturally leads to a view of mathematics where sets are used to parametrize collections of objects without...

A "proof assistant" is a software package comprising a validity checker for proofs in a particular logic, accompanied by semi-decision procedures called "tactics" that assist the mathematician in filling in the easy parts of the proofs. I will...

The main purpose of the talk is to describe an approach for the estimate of averages over orbits of certain functions on the space of lattices. These estimates play a crucial role in the study of the distribution of values at integral points of...