Previous Conferences & Workshops

The representation theory of reductive groups on categories is the geometric counterpart to the representation theory of reductive groups over finite fields. I will describe, following joint work with Sam Gunningham, a geometric counterpart for...

Our object of interest will be tuples matrices over a field.

I will explain how different views of this object by diverse fields of mathematics give rise to important questions in these areas, which turn out to be surprisingly tightly connected...

We will give an overview of some of the developments in recent years dealing with the description of asymptotic states of solutions to semilinear evolution equations ("soliton resolution conjecture").

New results will be presented on damped...

I will discuss several results on abstract homomorphisms between the groups of rational points of algebraic groups. The main focus will be on a conjecture of Borel and Tits formulated in their landmark 1973 paper.

Our results settle this conjecture...

I will explain an application of the geometric Satake correspondence (in its derived form due to Bezrukavnikov-Finkelberg) to the study of differential operators on $G$-spaces (for $G$ complex reductive) and its classical version, the study of...

The talk will motivate recent work on saturation of ultrapowers from a general mathematical point of view, emphasizing some connections to combinatorics.

Conclusion of last week's talk (Michał); overview of where we are and discussion of relation with representation theory and L-functions (Yiannis).

We introduce the notion of critical toric surfaces, with a focus on the so-call "critical toric blow-ups". These are symplectic manifolds with a toric action on the complement of an isotropic Lagrangian skeleton. We explain some applications of this...