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SUMMARY:Dima Arinkin (University of Wisconsin)
DTSTART:20201021T203000Z
DTEND:20201021T213000Z
DTSTAMP:20260423T035538Z
UID:MITLie/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/13/">
 Compactifying the category of D-modules on the stack of G-bundles</a>\nby 
 Dima Arinkin (University of Wisconsin) as part of MIT Lie groups seminar\n
 \nLecture held in 2-142.\n\nAbstract\nLet X be a projective curve\, G a re
 ductive group. Let Bun be the stack of G-bundles over X\, and consider the
  category of D-modules on Bun. (This category appears on the “automorphi
 c” side of the geometric Langlands correspondence.) Drinfeld and Gaitsgo
 ry prove that\, despite the “unbounded” (non-quasi compact) nature of 
 Bun\, the category of D-modules is well-behaved (compactly generated).\n\n
 In this talk\, we will “compactify” this category in a stronger sense\
 ; this can be viewed as compactifying the quantized cotangent bundle to Bu
 n. While the basic idea of such compactification goes back to ideas of Del
 igne and Simpson\, its construction relies on non-trivial properties of th
 e geometry of Bun (similar to the Drinfeld-Gaitsgory Theorem).\n
LOCATION:https://researchseminars.org/talk/MITLie/13/
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