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Embedded contact homology and symplectic embeddings


Speaker: Vinicius Ramos, University of Nantes, France
Location: 2112 MSB
Start time: Tue, Dec 2 2014, 3:10PM

Embedded contact homology (ECH) is a Floer-type invariant of three-manifolds defined by M. Hutchings. It gives rise to a sequence of obstructions to symplectic embeddings, which are sharp in many cases. In this talk, I will explain some of these results. In particular, I will speak about why ECH capacities are sharp for certain ball packings of ellipsoids and more general toric domains.