Matrix coefficients of representations
Abstract
In
his work on representation theory of noncompact semisimple Lie groups Harish-Chandra
used the idea that the asymptotic behavior of matrix coefficients at the
infinity determines the properties of the representation. We are going to
discuss our work with Casselman explaining Harish-Chandra's results on asymptotic expansion of matrix
coefficients in terms of Deligne's theory of
differential equations with regular singularities. Moreover, we will relate
these expansions to more algebraic constructions (n-homology, Jacquet functors, etc...)
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Room 517, Meng
Wah Complex |
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All are welcome |
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