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SUMMARY:Lagrangian fibrations on hyperkahler manifolds - Daniel Greb (Univ
 ersity of Freiburg)
DTSTART:20120410T150000Z
DTEND:20120410T160000Z
UID:TALK36714@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:The general fibre of a Lagrangian fibration on a hyperkahler m
 anifold is a Lagrangian torus. It is a question of Beauville whether any L
 agrangian torus in a hyperkahler manifold arises in this way. \n\nIn my ta
 lk\, I will describe recent joint work with Christian Lehn and Sonke Rolle
 nske giving a positive answer to Beauville's question in the non-projectiv
 e case. Furthermore\, I will derive a criterion for the existence of a Lag
 rangian fibration in the projective case\, which has recently been used by
  Jun-Muk\nHwang to provide a positive answer to Beauville's question for p
 rojective hyperkahler manifolds.\n
LOCATION:MR2
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