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SUMMARY:Izzet Coskun (University of Illinois at Chicago)
DTSTART:20200630T150000Z
DTEND:20200630T160000Z
DTSTAMP:20260423T021442Z
UID:ZAG/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/27/">The
  stabilization of the cohomology of moduli spaces of sheaves on surfaces</
 a>\nby Izzet Coskun (University of Illinois at Chicago) as part of ZAG (Zo
 om Algebraic Geometry) seminar\n\n\nAbstract\nThe Betti numbers of the Hil
 bert scheme of points on a smooth\, irreducible projective surface have be
 en computed by Gottsche. These numbers stabilize as the number of points t
 ends to infinity. In contrast\, the Betti numbers of moduli spaces of semi
 stable sheaves on a surface are not known in general. In joint work with M
 atthew Woolf\, we conjecture these also stabilize and that the stable numb
 ers do not depend on the rank. We verify the conjecture for large classes 
 of surfaces. I will discuss our conjecture and provide the evidence for it
 .\n
LOCATION:https://researchseminars.org/talk/ZAG/27/
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