Algebra Seminar: Dragan Milicic -- On orthogonality relations

Dragan Milicic (University of Utah) is speaking in the Algebra Seminar this week.  We
will go out for lunch after the talk.  

When: Friday, 15 September, 12-1pm 
Where: Carslaw 173 

Title: On orthogonality relations 

Abstract: Schur orthogonality relations are one of the basic results of representation
theory of finite groups.  Hermann Weyl used their extension to compact groups to
determine irreducible characters of compact Lie groups.  Later, Harish-Chandra
generalized them to discrete series of noncompact reductive Lie groups.  At that time,
they looked like a clever computational trick to determine the characters of discrete
series.  In this talk, we are going to discuss a categorical generalization of the
orthogonality relations to arbitrary admissible representations of reductive Lie
groups.  It contains all other situations as special cases.