Speaker:	Tanmay Neelesh Deshpande (Kavli IPMU)
Title:	Character sheaves on unipotent groups
Date (JST):	Thu, Jan 17, 2013, 15:30 - 17:00
Place:	Seminar Room A
Abstract:	Let G be an algebraic group defined over a finite field F_q. One of the goals of the theory of character sheaves is to understand the irreducible characters of the finite groups G(F_{q^n}) in terms of certain (l-adic) sheaves on G. In the first part of my talk, I will describe some of the goals of the theory of character sheaves and the tools used like Grothendieck's sheaf-function correspondence. In the second part, I will describe some of the main features of the theory of character sheaves on unipotent groups developed by Drinfeld and Boyarchenko. We will begin by recalling some ideas from representation theory of finite groups and nilpotent groups which serve as a motivation for many of the ideas developed by Drinfeld.

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