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SUMMARY:Laura Pertusi (University of Milan)
DTSTART:20210202T160000Z
DTEND:20210202T170000Z
DTSTAMP:20260423T004551Z
UID:DerSem/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/5/">C
 ubic fourfolds and moduli spaces of O'Grady 10 type</a>\nby Laura Pertusi 
 (University of Milan) as part of Derived seminar\n\n\nAbstract\nIn this ta
 lk we study certain moduli spaces of semistable objects in the Kuznetsov c
 omponent of a cubic fourfold. We show that they admit a symplectic resolut
 ion \\tilde{M} which is a smooth projective hyperkaehler manifold deformat
 ion equivalent to the 10-dimensional example constructed by O’Grady. As 
 a first application\, we construct a birational model of \\tilde{M} which 
 is a compactification of the twisted intermediate Jacobian of the cubic fo
 urfold. Secondly\, we show that \\tilde{M} is the MRC quotient of the main
  component of the Hilbert scheme of elliptic quintic curves in the cubic f
 ourfold\, as conjectured by Castravet. This is a joint work with Chunyi Li
  and Xiaolei Zhao.\n
LOCATION:https://researchseminars.org/talk/DerSem/5/
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