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SUMMARY:Michał Kapustka (IMPAN and Stavanger)
DTSTART:20210325T100000Z
DTEND:20210325T110000Z
DTSTAMP:20260423T024838Z
UID:notts_ag/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/50/
 ">Nikulin orbifolds</a>\nby Michał Kapustka (IMPAN and Stavanger) as part
  of Online Nottingham algebraic geometry seminar\n\n\nAbstract\nThe theory
  of K3 surfaces with symplectic involutions and their quotients is now a w
 ell understood classical subject thanks to foundational works of Nikulin\,
  and van Geemen and Sarti. In this talk we will try to develop an analogou
 s theory in the context of hyperkahler fourfolds of K3${}^{[2]}$ type. Fir
 st\, we will present a latttice theoretic classification of such fourfolds
  which admit a symplectic involution. Then we will investigate the associa
 ted quotients that we call Nikulin orbifolds. These are orbifolds which ad
 mit a symplectic form on the smooth locus and hence are special cases of s
 o called hyperkahler orbifolds. Finally\, we shall discuss families of Nik
 ulin orbifolds and their deformations called hyperkahler orbifolds of Niku
 lin type. As an application\, we will provide a description of the first k
 nown example of a complete family of projective hyperkahler orbifolds. Thi
 s is joint work with A. Garbagnati\, C. Camere and G. Kapustka.\n
LOCATION:https://researchseminars.org/talk/notts_ag/50/
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