**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.