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SUMMARY:Zhiwei Yun (MIT Mathematics)
DTSTART:20210520T120000Z
DTEND:20210520T140000Z
DTSTAMP:20260423T005806Z
UID:AGNTISTA/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/37/
 ">Universal global nilpotent cone</a>\nby Zhiwei Yun (MIT Mathematics) as 
 part of Algebraic Geometry and Number Theory seminar - ISTA\n\nAbstract: T
 BA\n\nThe global nilpotent cone is the zero fiber of the Hitchin map in th
 e moduli space of Higgs bundles over an algebraic curve. It is a conic Lag
 rangian in the ambient symplectic moduli space\, and it plays an important
  role in the geometric Langlands program. In this talk we define a version
  of the global nilpotent cone for a family of curves. It will be a closed 
 conic Lagrangian in the cotangent bundle of the total space of the family 
 of Bun_G's for the family of curves.\nImplicitly it encodes a "connection"
  among the category of sheaves on Bun_G as the curve varies. I will mentio
 n the motivation of the construction from Betti geometric Langlands. This 
 is joint work with David Nadler.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/37/
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