Speaker: Shaoyang Zhou (University of Maryland)
Time: 09:30-10:30, Oct 15, 2025
Venue: Tencent Meeting ID: 942 663 0176, password: 202501
In recent years, there were several applications of Periodic Floer Homology (PFH) to surface dynamics, including the C^{\infty} smooth closing lemma and the generic equidistribution theorem for area-preserving maps on compact surfaces. At the heart of these applications lies the PFH Weyl law, which describes the asymptotic behavior of PFH spectral invariants of area-preserving diffeomorphisms. In this talk, I will discuss surface dynamics in the non-compact setting by combining PFH and C^0 symplectic geometry. I particular, I will formulate a PFH Weyl law for area-preserving homeomorphisms, which may be of independent interest.
