# 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.