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W-algebras and Hecke algebras

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If you have a question about this talk, please contact Mustapha Amrani.

Algebraic Lie Theory

The aim of this course is to introduce the Kazhdan-Lusztig theory, in the general framework of unequal parameters. We plan to talk about Lusztig’s Conjectures, the asymptotic algebra, and to give a detailed account on some examples (symmetric group, type B,...). If time is left, we might talk about the connections with Cherednik algebras, or with representations of finite reductive groups, or with the geometry of the flag variety, or with the computation of decomposition matrices using the canonical bases of the Fock space (at most one of these four topics will be treated).

This talk is part of the Isaac Newton Institute Seminar Series series.

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