Speaker:
Joseph Bernstein
Affiliation:
Tel Aviv University / MPIM
Date:
Tue, 29/07/2014 - 14:00 - 15:00
In my talk I will discuss a new approach to representation theory of
algebraic groups.
In the usual approach one starts with an algebraic group G over
some local (or finite) field F, considers the group G = G(F) of
its F-points as a topological group and studies some category
Rep(G) of continuous representations of the group G.
I will argue that more correct objects to study are some kind of
sheaves on the stack BG corresponding to the group G.
I will show that this point of view naturally requires to change the
formulation of some basic problems in Representation Theory.
In particular this approach might explain the appearance of
representations of all pure forms of a group G in Vogan’s formulation
of Langlands’ correspondence.
