Smooth Closing Lemma for Area-Preserving Diffeomorphisms of Surfaces

Explore a conference talk on the smooth closing lemma for area-preserving diffeomorphisms of surfaces. Delve into the proof presented by Boyu Zhang from the University of Maryland, which utilizes a Weyl formula for Periodic Floer Homology spectral invariants and a non-vanishing result of twisted Seiberg-Witten Floer homology. Learn about this joint work with Dan Cristofaro-Gardiner and Rohil Prasad, presented as part of the Gauge Theory and Low Dimensional Topology conference at the University of Miami. Gain insights into this advanced topic in mathematics and its implications for the study of surface diffeomorphisms.