Orateur
Julian Chaidez
Description
In this talk, I will discuss ESFT spectral gaps: a new, general class of spectral invariants for large class of stable Hamiltonian manifolds and their cobordisms, in any dimension. They are built using a min-max construction applied to J-holomorphic curves in symplectic field theory. I will explain their formal properties and provide a holomorphic curve "closing criterion" for the ESFT gaps that implies a strong version of the smooth closing lemma. I will explain how to prove this criterion for flows that are "Hofer near periodic" and I will state some open problems.
This is joint work with Shira Tanny (IAS).
