中科院数学与系统科学研究院

数学研究所

学术报告

表示论研讨班

报告人： 司徒泉 博士 (清华大学)   

题  目：Center of category O for a hybrid quantum group

时  间：2023.01.05（星期四）14:30-15:30

地  点：腾讯会议：701-7388-5249

摘  要：Beilinson—Ginzburg—Soergel established a Koszul duality between singular block of BGG category O and perverse sheaves on partial flag variety. As a shadow of the Koszul duality, there is an isomorphism between the center of singular block and cohomology ring of partial flag variety. After a review of the classical story, we introduce the category O of a hybrid quantum group at roots of unity, and then show that the center of its singular block is isomorphic to cohomology of partial affine flag variety.

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题  目：Deformation of category O for a hybrid quantum group

时  间：2023.01.05（星期四）15:35-16:45

地  点：腾讯会议：701-7388-5249

摘  要：In this talk we introduce deformations of category O for a hybrid quantum group. A deformed version of the main result in the previous talk will be given, which concerns the equivariant cohomology of affine flag varieties.