Abstract Catharina Stroppel

Catharina Stroppel will speak on

p-adic representation theory from a categorification point of view

Abstract: In this talk we will describe certain categories of smooth representations for GL_n(Q_p) using generalizations of Khovanov-Lauda-Rouquier (KLR)-algebras. These are algebras which can be defined algebraically, diagrammatically or geometrically. They are certain graded versions of Iwahori-Hecke algebras. Over algebraically closed fields of characteristic zero they describe categories of smooth representations of p-adic groups. Passing to positive characteristics amounts to a nice twist on the KLR side. The goal of the talk is to explain some aspects of these algebras and their relevance in algebraic and geometric representation theory.