In 1991 Eliashberg-Floer-McDuff proved that compact symplectic manifolds of dimension at least 6 that bound the standard contact sphere in a symplectic way are diffeomorphic to the ball provided there are no symplectic 2-spheres. This fundamental result raised the question whether the boundary of a compact 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 the unit cotangent bundle of tori are unique up to diffeomorphism. This is joint work with Hansjörg Geiges and Myeonggi Kwon.
Donnerstag, den 23. Januar 2020 um 17.15 Uhr, in INF 205, HS Mathematikon Donnerstag, den 23. Januar 2020 at 17.15, in INF 205, HS Mathematikon
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers