“Algebraic groups and Hecke algebras”
Giovedì 21 Novembre 2024, ore 17:00 - Aula 2AB40 - Maximilien Mackie (PhD student at University of Oxford)
Abstract
This talk will be an introduction to representations of algebraic groups, with examples, focusing on a gadget called the Hecke algebra. After a short tour of the classical representation theory of finite groups, we will study the theory for p-adic groups which occur in number theory and in geometry. These groups have rich internal structure, making their theory analogous to that of finite groups, and our talk will focus on these similarities. We will demonstrate, with examples, how the Hecke algebra turns complicated problems into elementary linear algebra.
