Geometric Representation Theory Seminar | Principal block of quantum category O

Time：Fri., 14:00-15:30, Mar. 22. 2024

Venue：B627, Shuangqing Complex Building A 清华大学双清综合楼A座 B627

Organizer：Will Donovan, Penghui Li Peng Shan, Changjian Su, Lin Chen

Speaker：Quan Situ (YMSC)

Abstract:

In this talk, we will introduce a quantum analogue of the BGG category O, which is the category O for the hybrid quantum group introduced by Gaitsgory. We show that the principal block of quantum category O is a version of the affine Hecke category. More precisely, the principal block is abelian equivalent to a category of coherent sheaves involving the Springer resolution and its non-commutative counterpart.

DATEMarch 22, 2024

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