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Geometric representations of rational Cherednik algebras

Categorical Structures in Harmonic Analysis November 17, 2014 - November 21, 2014

November 17, 2014 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Zhiwei Yun (Massachusetts Institute of Technology)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14093
Abstract

Rational Cherednik algebras are (a degenerate version of) generalizations of Hecke algebras. We will construct finite-dimensional representations of these algebras from the cohomology of affine Springer fibers and Hitchin fibers with extra symmetry. We will also give a dimension formula for these representations. This is joint work with A.Oblomkov.
Supplements
22330?type=thumb Yun Notes 834 KB application/pdf Download
Video/Audio Files

14093

H.264 Video 14093.mp4 342 MB video/mp4 rtsp://videos.msri.org/14093/14093.mp4 Download
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