Colloquium abstracts

Tanmay Deshpande
TIFR, Mumbai
February 23, 2017

Character sheaves on algebraic groups:  The theory of character sheaves on algebraic groups is supposed to be a geometric analogue of character theory of finite groups. I will introduce the formalism of categories of l-adic sheaves and how they can be viewed as geometric analogues of function spaces. Now let G be an algebraic group over a finite field F. One of the main goals of the theory of character sheaves is to study the character theory of the finite group G(F) using l-adic sheaves on G. I will give a brief overview of this theory.