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SUMMARY:Jack Petok (Dartmouth College)
DTSTART:20210315T220000Z
DTEND:20210315T230000Z
DTSTAMP:20260423T010250Z
UID:UBC-AG/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UBC-AG/16/">
 Kodaira dimensions of some moduli spaces of hyperkähler fourfolds</a>\nby
  Jack Petok (Dartmouth College) as part of UBC Vancouver Algebraic Geometr
 y Seminar\n\n\nAbstract\nWe use modular forms to study the birational geom
 etry of some moduli spaces of hyperkähler fourfolds. I'll review a bit of
  the algebraic geometry of these moduli spaces\, and then I'll explain som
 e methods\, due to Gritsenko\, Hulek\, and Sankaran\, for computing their 
 Kodaira dimensions. These methods make use of special modular forms define
 d on high rank orthogonal groups. I'll also report on an ongoing project w
 ith Jen Berg applying related techniques to certain moduli spaces of Enriq
 ues surfaces.\n
LOCATION:https://researchseminars.org/talk/UBC-AG/16/
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