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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.)

2014/07/01

16:30-18:00   Room #126 (Graduate School of Math. Sci. Bldg.)
Pablo Ramacher
(Marburg University)
WONDERFUL VARIETIES. REGULARIZED TRACES AND CHARACTERS (ENGLISH)
[ Abstract ]
Let G be a connected reductive complex algebraic group with split real form G^\\sigma.
In this talk, we introduce a distribution character for the regular representation of G^\\sigma on the real locus of a strict wonderful G-variety X, showing that on a certain open subset of G^\\sigma of transversal elements it is locally integrable, and given by a sum over fixed points.