Previous Conferences & Workshops

All finite graphs satisfy the two properties mentioned in the title. I will explain what I mean by this, and speculate on generalizations and interconnections.

It is an old question in representation theory whether any finitely-generated smooth representation of a $p$-adic group has a resolution by representations induced from (finite-dimensional representations of) compact subgroups. We construct such a...

In this talk, I will prove that all flexible Weinstein fillings of a given contact manifold have isomorphic integral cohomology. As an application, I will show that in dimension at least 5 any almost contact class that has an almost Weinstein...

We show that for constraint satisfaction problems (CSPs), sub-exponential size linear programming relaxations are as powerful as $n^{\Omega(1)}$-rounds of the Sherali-Adams linear programming hierarchy. As a corollary, we obtain sub-exponential size...

Representations of open compact subgroups play a fundamental role in studying representations of $p$-adic groups and their covering groups. We give an overview of this subject, called the theory of types, in connection with harmonic analysis. We...

Consider a set of $n$ points in $\mathbb R^d$. The classical theorem of Sylvester-Gallai says that, if the points are not all collinear then there must be a line through exactly two of the points. Let us call such a line an "ordinary line". In a...

Isoperimetric problems are ubiquitous in mathematics. We shall discuss some proved and some conjectural ones in symplectic geometry, together with applications to other areas of mathematics.