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SUMMARY:Emma Brakkee (University of Amsterdam)
DTSTART:20220510T120000Z
DTEND:20220510T130000Z
DTSTAMP:20260423T052928Z
UID:ZAG/209
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/209/">Ge
 neral type results for moduli of hyperkahler varieties</a>\nby Emma Brakke
 e (University of Amsterdam) as part of ZAG (Zoom Algebraic Geometry) semin
 ar\n\n\nAbstract\nIn 2007\, Gritsenko\, Hulek and Sankaran proved that the
  moduli space of K3 surfaces of degree 2d is of general type when d>61. Th
 eir strategy is to reduce the question to the existence of a certain cusp 
 form for an orthogonal modular variety. This method has been applied succe
 ssfully to prove general type results for\, among others\, some moduli of 
 higher-dimensional hyperkähler varieties. In this talk\, we sketch the re
 duction argument and give general type results for some more types of hype
 rkähler moduli spaces. We also explain what the challenges are when tryin
 g to imitate the strategy for other moduli spaces of hyperkähler varietie
 s. This is joint work in progress with I. Barros\, P. Beri and L. Flapan.\
 n
LOCATION:https://researchseminars.org/talk/ZAG/209/
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