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Seminar by Sergey Arkhipov (University of Toronto)

Title: Twisting functors on the category of modules over the quantum group and semi-infinite

2013.11.04 | Christine Dilling

Date Wed 29 Sep
Time 14:15 15:15
Location Aud. D3


We compare the braid group actions on the category of modules over the Lusztig quantum group and on the category of coherent sheaves on the Springer variety. We use this comparison to find semi-infinite cohomology of the small quantum group with coefficients in a quasi-Verma module.

Finally we show that a similar (conjectural) construction for the category of bimodules over the quantum group would provide a precise geometric answer for the semi-infinite cohomology of the square of the small quantum group.