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Algebraic construction of equivariant oriented cohomology of flag varieties II-I
[대수기하학 세미나]
Date: 2017-11-14
Speaker : Changlong Zhong (University at Albany - SUNY)
Abstract : I will introduce the dual of the formal affine Demazure algebra, which is the algebraic replacement of T-equivariant oriented cohomology of complete flag variety. I will also mention the proof of the generalized Borel Isomorphism. In the second half of this talk, I will define the two Hecke actions on the dual of the formal affine Demazure algebra. Then I will define the push-pull operators of the oriented cohomology and define perfect pairings on the equivariant cohomology of complete and partial flag varieties. I will also mention hyperbolic cohomology and its relation with Kazhdan-Lusztig basis.
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