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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.
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