Academics

Category O for a hybrid quantum group

Time:Fri., 3:30-4:30 pm, Dec.30, 2022

Venue:Zoom ID: 271 534 555;PW: YMSC

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

Speaker:Quan Situ

Abstract

In this talk we introduce a hybrid quantum group at root of unity. We consider its category O and discuss some basic properties including linkage principle and BGG reciprocity. Then we show that there is an isomorphism between the center of a block (of arbitrary singular type) of the category O with the cohomology ring of the partial affine flag variety (of the corresponding parahoric type). A key ingredient is an abelian equivalence between the Steinberg block of O and the category of equivariant coherent sheaves on the Springer resolution. If time permitted, we will discuss a deformed version of these results.

DATEDecember 30, 2022
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