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Seminários do IMPA

Geometria Diferencial

Symplectic cohomology and heaviness of compact subsets
Dmitry Tonkonog

UC Berkeley
Terça-feira, 16 de abril de 2019, 15:30
Sala 236.

This talk reports on what I have learned from Umut Varolgunes, and partially on our joint work in preparation. I will survey a version of symplectic cohomology for compact subsets of symplectic manifolds, recently studied by Varolgunes. Among other applications, this theory allows to introduce the notion of heavy / superheavy subsets, conjecturally equivalent to the definition due to Entov and Polterovich. I will discuss what happens when the subset is the complement of a neighbourhood of a symplectic divisor.