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Commutativity constraints revisited

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

November 21, 2014 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Xinwen Zhu (California Institute of Technology)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



I will explain a new approach to the commutativity constraints of the Satake category. This approach is based on an equality between certain Kazhdan-Lusztig polynomial and Lusztig-Vogan polynomial (conjectured by Lusztig and proved by Lusztig-Yun). It eventually allows us to prove the geometric Satake isomorphism for p-adic groups, without using fusion products.

22342?type=thumb Zhu Notes 884 KB application/pdf Download
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