Deformations of asymptotically cylindrical Cayley submanifolds

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• Matthias Ohst
• Friday 09 October 2015, 15:00-16:00
• MR14.

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 Kähler 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.

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