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Mathematics Colloquium


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 K-theory.

Speaker:  Reyer Sjamaar
Institution:  Cornell University


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