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Home » GRT Research Seminar: A Generalized Springer Theorem for Sheaves on a Reductive Lie Algebra

Seminar

GRT Research Seminar: A Generalized Springer Theorem for Sheaves on a Reductive Lie Algebra October 08, 2014 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Sam Gunningham (University of Texas)
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I will explain how the category of equivariant D-modules on a reductive Lie algebra has a block decomposition, where the blocks are indexed by conjugacy classes of cuspidal local systems on Levi subalgebras.  Each block admits an explicit description as modules for a specialization of a rational Cherednik algebra. This theorem generalizes (further) Lusztig's generalized Springer correspondence, and in particular, leads to a new a new and intuitive proof of some of Lusztig's results. Time permitting, I will discuss some work in progress towards seeing more general Cherednik algebras.

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