BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Thorsten Beckmann (University of Bonn)
DTSTART:20210420T150000Z
DTEND:20210420T160000Z
DTSTAMP:20260423T021527Z
UID:DerSem/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/16/">
 Derived categories of hyper-Kähler manifolds via the extended Mukai latti
 ce</a>\nby Thorsten Beckmann (University of Bonn) as part of Derived semin
 ar\n\n\nAbstract\nThe derived category of a K3 surface is governed by its 
 integral cohomology together with its Hodge structure and to objects we ca
 n functorially assign a Mukai vector in this lattice. We show an analogous
  picture for higher-dimensional hyper-Kähler manifolds using the extended
  Mukai lattice. In particular\, we construct a vector for certain objects 
 in the derived category taking values in the extended Mukai lattice and we
  obtain a rank 25 integral lattice with a Hodge structure which is a deriv
 ed invariant for hyper-Kähler manifolds deformation-equivalent to the Hil
 bert scheme of n points on a K3 surface.\n
LOCATION:https://researchseminars.org/talk/DerSem/16/
END:VEVENT
END:VCALENDAR