Lie Groups and Representation Theory

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Date, time & place Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.)

2012/07/17

17:00-18:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Eric Opdam (Universiteit van Amsterdam)
Dirac induction for graded affine Hecke algebras (ENGLISH)
[ Abstract ]
In recent joint work with Dan Ciubotaru and Peter Trapa we
constructed a model for the discrete series representations of graded affine Hecke algebras as the index of a Dirac operator.
We discuss the K-theoretic meaning of this result, and the remarkable relation between elliptic character theory of a Weyl group and the ordinary character theory of its Pin cover.