Date: Tuesday, February 23, 2010
Title: Induction of representations and Poincar\'e duality
Abstract: Let G be a group and H a subgroup. Frobenius showed in 1898 how to
"enlarge" a representation of H to a representation of G. His method,
now called induction, rapidly became a useful technical tool in
algebra and harmonic analysis and was adapted by others in various
ways. For instance, in 1965 Bott made a systematic study of induction
methods based on invariant elliptic differential operators in the
context of compact Lie groups, which led to generalizations of the
Weyl character formula. I will review and update Bott's work and
discuss some applications to Ktheory.
Speaker: Reyer Sjamaar
Institution: Cornell University
