Algebraic Geometry Seminar
David Nadler
Northwestern
Character sheaves for loop groups
Abstract: I'll discuss joint work with D. Ben-Zvi (Texas) devoted to characters
of categorical loop group representations. From one perspective, such
characters should be adjoint-equivariant sheaves on the loop group itself.
Unfortunately, the adjoint-quotient of a loop group is a fearsome infinite
(both positive and negative) dimensional stack. Fortunately, gauge theory
provides another perspective in which such characters should be sheaves on the
moduli of bundles on an elliptic curve. This leads to many interesting
connections with other parts of representation theory, and in particular a
Langlands dual spectral description in terms of commuting varieties.
Wednesday October 19, 2011 at 4:00 PM in SEO 427