This is a Joint Columbia-IAS-Princeton Symplectic Seminar. Embedded contact homology gives a sequence of obstructions to four-dimensional symplectic embeddings, called ECH capacities.
Symplectic Geometry Seminar
The seminar meets each Friday at 1:30 pm, with the venue alternating between Fine Hall 322 at Princeton and Simonyi Hall at the IAS. This seminar also has their own webpage. Please click on seminar title for complete abstract.
Joint Columbia-IAS-Princeton Symplectic Seminar: Symplectic embeddings from concave toric domains into convex ones
This is a Joint Columbia-IAS-Princeton Symplectic Seminar. ECH (embedded contact homology) capacities give obstructions to symplectically embedding one four-dimensional symplectic manifold with boundary into another.
After Gromov’s foundational work in 1985, problems of symplectic embeddings lie in the heart of symplectic geometry.
University of Pavia
In this talk, we study two natural circle actions in Floer theory, one on symplectic cohomology and one on the Hochschild homology of the Fukaya category. We show that the geometric open-closed string map between these two complexes is S^1-equivariant, at a suitable chain level.
Cornell University and IAS
I will describe purely symplectic notions of normal crossings divisor and configuration. They are compatible with the existence of the desired auxiliary almost Kahler structures, provided ``existence" is suitably interpreted.
University of Massachusetts