Speaker:  Oliver Edtmair (University of California Berkeley)

Title:  The subleading asymptotics of symplectic Weyl laws

Abstract:  “The subleading asymptotics of symplectic Weyl laws ” Abstract Spectral invariants defined via Embedded Contact Homology (ECH) or the closely related Periodic Floer Homology (PFH) satisfy a Weyl law: Asymptotically, they recover symplectic volume. This Weyl law has led to striking applications in dynamics and C⁰ symplectic geometry. For example, it plays a key role in the proof of the smooth closing lemma for three-dimensional Reeb flows and area preserving surface diffeomorphisms, and in the proof of the simplicity conjecture. In this talk I will report on work in progress concerning the subleading asymptotics of these Weyl laws and the connection to symplectic packing problems.