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Geometry & Topology seminarExport this event to calendar

Tuesday, October 21, 2014 — 1:00 PM EDT

Jason Lotay, University College London

“Hyperkaehler 4-manifolds with boundary”

An oriented hypersurface in a hyperkaehler 4-manifold naturally inherits a coclosed coframing. Bryant showed that, in the real analytic case, any oriented 3-manifold with a coclosed coframing can always be locally thickened to a hyperkaehler 4-manifold, in an essentially unique way. This raises the natural question: when can these 3-manifolds with this structure arise as the boundary of a hyperkaehler 4-manifold? In particular, starting from a compact hyperkaehler 4-manifold with boundary, which deformations of the boundary structure can be extended to a hyperkaehler deformation of the interior? I will discuss recent progress on this problem, which is joint work with Joel Fine and Michael Singer.

Please note special day, time and room.

Location 
MC - Mathematics & Computer Building
5158B
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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