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Diffeomorphism type of symplectic fillings

Kai Zehmisch
(WWU Münster)
Seminar
Wednesday, 10 May, 2017, at 10:15-11:00, in Koll. G4 (1532-222)
Abstract:

AbstractIn 1991 Eliashberg-Floer-McDuff proved that compact symplectic manifolds of dimension at least 6 that bound the standard contact sphere symplectically are diffeomorphic to the ball provided there are no symplectic 2-spheres. This fundamental result raised the question whether the boundary of a symplectic manifold determines the interior. In my talk I will explain how holomorphic curves can be used to answer this open question. For example, symplectically aspherical fillings of simply-connected, subcritically fillable contact manifolds are unique up to diffeomorphism.

Note: This seminar is aimed at a general audience of mathematicians 

Organised by: QGM
Contact person: Jørgen Ellegaard Andersen