University of Cambridge > Talks.cam > Junior Geometry Seminar > Deformations of asymptotically cylindrical Cayley submanifolds

Deformations of asymptotically cylindrical Cayley submanifolds

Add to your list(s) Download to your calendar using vCal

  • UserMatthias Ohst
  • ClockFriday 09 October 2015, 15:00-16:00
  • HouseMR14.

If you have a question about this talk, please contact Christian Lund.

Note the room change to MR14.

Cayley submanifolds of R^8 were introduced by Harvey and Lawson as an instance of calibrated submanifolds, extending the volume-minimising properties of complex submanifolds in K√§hler manifolds. More generally, Cayley submanifolds are 4-dimensional submanifolds which may be defined 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 submanifolds 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.

This talk is part of the Junior Geometry Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity