Number Theory Seminar
Masoud Kamgarpour
The University of British Columbia
Geometrization of principal series representations of GL(N)
Abstract: In geometric representation theory, one often wishes to
describe representations realized on spaces of invariant functions as
trace functions of equivariant perverse sheaves. In the
case of principal series representations of GL(N) over a local field
F, i.e., representations obtained by parabolic induction from
characters of the torus, there is a beautiful description of families
of these representations realized on spaces of functions on GL(N)
invariant under the translation action of the Iwahori subgroup, or a
suitable smaller compact open subgroup, studied by Howe, Roche,
Bushnell-Kutzko, and others. Based on conjectures of Drinfeld, I will
define and describe perverse sheaves whose traces
recover these families. This is joint work with Travis Schedler.
Wednesday November 3, 2010 at 2:00 PM in SEO 427