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Algebra Seminar
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Toshiyuki Tanisaki
Osaka City University

Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra

Friday 26th November, 12:05-12:55pm, Carslaw 157.

According to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant K-group of Steinberg's triple variety. The K-group is equipped with a filtration indexed by closed G-stable subvarieties of the nilpotent variety, where G is the corresponding complex reductive algebraic group. I will talk about my recent result with N. Xi showing that the filtration is compatible with the Kazhdan-Lusztig basis of the Hecke algebra in the case of type A.