BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Isabell Hellmann (HCM Bonn)
DTSTART:20210218T195000Z
DTEND:20210218T205000Z
DTSTAMP:20260423T005850Z
UID:GPRTatNU/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/17/
 ">The nilpotent cone in the Mukai system of rank two and genus two</a>\nby
  Isabell Hellmann (HCM Bonn) as part of Geometry\, Physics\, and Represent
 ation Theory Seminar\n\n\nAbstract\nLet $S$ be a K3 surface and $C$ a smoo
 th curve in $S$. We consider the moduli space $M$ of coherent sheaves on $
 S$ which are supported on a curve rational equivalent to $nC$ and have fix
 ed Euler characteristic (coprime to $n$). Then $M$ is an irreducible holom
 orphic symplectic manifold equipped with a Lagrangian fibration given by t
 aking supports. This is the beautiful Mukai system.\n\nOne source of inter
 est in the Mukai system is\, that it deforms to the Hitchin system on $C$.
  And there is a notion of the nilpotent cone in the Mukai system deforming
  to the nilpotent cone in the Hitchin system. In my talk\, I present some 
 results about the nilpotent cone on the Mukai side (in the lowest dimensio
 nal case)\, which can then be transferred to the Hitchin side.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/17/
END:VEVENT
END:VCALENDAR