Lie Groups Seminar

Allen MoyHong Kong University of Science and Technology
An Euler-Poincare formula for a depth zero Bernstein projector

Friday, October 13, 2017 - 3:30pm
Malott 406

Work of Bezrukavnikov-Kazhdan-Varshavsky uses an equivariant
system of trivial idempotents of Moy-Prasad groups to obtain an
Euler-Poincare formula for the r-depth Bernstein projector.
We establish an Euler-Poincare formula for the projector to an
individual depth zero Bernstein component in terms of an equivariant system
of Peter-Weyl idempotents of parahoric subgroups P associated to a block
of the reductive quotient P.  This work is joint with Dan Barbasch and 
Dan Ciubotaru.