Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Relative Kazhdan Lusztig isomorphism for GL_{2n}/Sp_{2n}
The Kazhdan Lusztig isomorphism, which relates the affine Hecke algebra of a p-adic group to the equivariant K-theory of the Steinberg variety of its Langlands dual, played a key role in the proof of the Deligne Langlands conjecture on the classification of tamely ramified irreducible representations. For a spherical variety X, we can construct two modules over the affine Hecke algebra: the first by considering Iwahori invariant functions on X, and the second using relative Langlands duality and equivariant K-theory. It is natural to expect a relationship between these modules. I will discuss this relationship for X = GL_{2n}/Sp_{2n} and its application to the study of distinguished representations.
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