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-...
AbstractThis will be a week-long workshop held at Tsinghua Sanya International Mathematics Forum (TSIMF), from January 2nd to 8th, 2023. The workshop will be held in a hybrid mode. Most talks will be held offline, but the participants can attend the talks on Tencent meeting.In the last two decades, there have been great progresses in probability and stochastic analysis. In particular, four Fiel...
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