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SUMMARY:Deformations of asymptotically cylindrical Cayley submanifolds - M
 atthias Ohst
DTSTART:20151009T140000Z
DTEND:20151009T150000Z
UID:TALK61613@talks.cam.ac.uk
CONTACT:Christian Lund
DESCRIPTION:Cayley submanifolds of R^8 were introduced by Harvey and Lawso
 n as an instance of calibrated submanifolds\, extending the volume-minimis
 ing properties of complex submanifolds in Kähler manifolds. More generall
 y\, Cayley submanifolds are 4-dimensional submanifolds which may be define
 d in an 8-manifold M equipped with a certain differential 4-form invariant
  at each point under the spin representation of Spin(7). If this 4-form is
  closed\, then the holonomy of M is contained in Spin(7) and Cayley subman
 ifolds are calibrated minimal submanifolds. In this talk I will present an
  extension of McLean's deformation theory of closed Cayley submanifolds to
  the setting of asymptotically cylindrical Cayley submanifolds.\n
LOCATION:MR14
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