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SUMMARY:Simon Donaldson (Imperial College London and Simons Center for Geo
 metry and Physics)
DTSTART:20210202T150000Z
DTEND:20210202T160000Z
DTSTAMP:20260423T040003Z
UID:ZAG/91
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/91/">Enu
 merative geometry\, Fredholm analysis and moduli spaces of surfaces of gen
 eral type</a>\nby Simon Donaldson (Imperial College London and Simons Cent
 er for Geometry and Physics) as part of ZAG (Zoom Algebraic Geometry) semi
 nar\n\n\nAbstract\nIn the first part of the talk we will review some backg
 round in deformation theory\,  comparing the points of view from algebraic
  geometric and differential geometry/global analysis. We will review in ou
 tline some known established examples in which a "virtual fundamental clas
 s" of a moduli space can be defined. In the second part of the talk we wil
 l explore the possibility that these ideas can be applied to moduli spaces
  of surfaces of general type using the KSBA compactification. We will make
  some standard observations about these moduli spaces\, whose dimension of
 ten differs from the virtual dimension. We will illustrate the discussion 
 by a calculation in the case of sextic surfaces with a particular finite s
 ymmetry group.\n
LOCATION:https://researchseminars.org/talk/ZAG/91/
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