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SUMMARY:Teppei Takamatsu (University of Tokyo)
DTSTART:20210303T010000Z
DTEND:20210303T013000Z
DTSTAMP:20260423T052759Z
UID:POINT/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/30/">O
 n finiteness of twisted forms of hyperkähler varieties</a>\nby Teppei Tak
 amatsu (University of Tokyo) as part of POINT: New Developments in Number 
 Theory\n\n\nAbstract\nFor a finite field extension $L/K$ and a variety $X$
  over $K$\,\nlet $Tw_{L/K} (X)$ be the set of isomorphism classes of varie
 ties $Y$\nover $K$ which are isomorphic to $X$ after the base change to $L
 $ (i.e.\nthe set of twisted forms of $X$ via $L/K$). In this talk\, we pro
 ve the\nfiniteness of $Tw_{L/K}$ for K3 surfaces of characteristic away fr
 om 2\nand hyperkähler varieties of characteristic 0. This work is a\ngene
 ralization of Cattaneo-Fu's work on real forms of hyperkähler\nvarieties.
  We also give an application to the finiteness of derived\nequivalent twis
 ted forms of hyperkähler varieties.\n
LOCATION:https://researchseminars.org/talk/POINT/30/
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