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UID:20260712T120455EDT-0819vhgInD@132.216.98.100
DTSTAMP:20260712T160455Z
DESCRIPTION:Title: Perverse cohérent sheaves and quantum loop group\n\nAbst
 ract: The category of equivariant perverse sheaves on the affine Grassmann
 ian has a coherent counterpart\, called the coherent Satake category. Caut
 is and Williams proved for GL and conjectured for other types that this ca
 tegory has a cluster structure. I will speak about constructing certain ca
 tegorical mutations in all simply-laced types. Our approach is based on re
 lating the coherent Satake category with the category of finite-dimensiona
 l modules over the quantum affine group. The bridge between these two cate
 gories is provided by the notion of Feigin-Loktev fusion product for modul
 es over the current algebra. In particular\, it helps to construct cluster
  short exact sequences of perverse coherent sheaves using the existence of
  exact sequences of modules over the quantum affine group.\n\nLocation: UQ
 AM PK-5675\n
DTSTART:20251112T190000Z
DTEND:20251112T190000Z
SUMMARY:Ilya Dumanski (MIT)
URL:https://www.mcgill.ca/mathstat/channels/event/ilya-dumanski-mit-368845
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