Past Events

I will describe a new lower bound on the number of intersection points of a Lagrangian pair, in the exact setting, using Steenrod squares on Lagrangian Floer cohomology which are defined via a Floer homotopy type.

After a brief introduction to the geometric features of black holes, I will discuss recent joint work with Dafermos, Rodnianski and Taylor introducing a new scheme to prove small data global existence results for quasilinear wave equations on sub-extremal Kerr black hole backgrounds. In the…

We show new lower bounds for sphere packings in high dimensions and for independent sets in graphs with not-too-large co-degrees. For dimension d, this achieves a sphere packing of density (1 + o(1)) d log d / 2^(d+1). In general dimension this provides the first asymptotically growing…

In this talk, I will construct an S^1-equivariant version of the relative symplectic cohomology developed by Varolgunes. As an application, I will construct a relative version of Gutt-Hutchings capacities and a relative version of symplectic (co)homology capacity. We will see that these relative…

Choose a finite group G and a number field F. We show that, given any large family of G-extensions of F, almost all are subject to a strong effective form of the Chebotarev density theorem. As one consequence, given a prime p, we are able to give nontrivial upper bounds for the size of the p-…

We will discuss a method to bound covering numbers as one often hopes to do in chaining, specifically in the context of empirical counting processes. Symmetrization and the use of VC dimension are included.

On the isoperimetric inequality: a proof using Brenier's theorem.

Abstract: Black hole thermodynamics is a celebrated analogy between the laws of classical thermodynamics and black hole mechanics governed by the theory of general relativity. In this talk, I will give an introduction to the theory of black holes, their thermodynamics, and explain how recent…

We will follow Chapter 1 of Haesemeyer–Weibel's The norm residue theorem in motivic cohomology.

Seminar on Solvable Lattice Models.

Solvable lattice models can be used to describe and study variousfunctions in p-adic representation theory. For instance, a recent paperby Brubaker, Buciumas, Bump and Gustafsson used lattice models todiscover an unexpected correspondence between so-…