Berlin-Hamburg-Seminar am 20.1.2020

Jonny Evans (Lancaster) You can't squeeze a (Lagrangian) Klein bottle

Give S² the area form with area 4π. I will show that there is a Lagrangian Klein bottle in [0,1] x S¹ x S² but not in (0,1) x S¹ x S².

Zhengyi Zhou (IAS) Symplectic fillings of asymptotical dynamically convex manifolds

I will introduce the concept of k-dilation on symplectic cohomology, which generalizes the vanishing of symplectic cohomology and symplectic dilation. The existence of k-dilation is independent of certain fillings for a class of contact manifolds admitting only the trivial augmentation, called asymptotically dynamically convex manifolds. Then I will derive some consequences on uniqueness and existence of fillings, embeddings, and cobordisms.