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Gauge Theory Learning Seminar

The smooth closing lemma for area-preserving diffeomorphisms of surfaces

Boyu Zhang (University of Maryland)

Location:  Hill 705 and Zoom
Date & time: Friday, 01 December 2023 at 9:15AM - 10:15AM

Abstract: In this talk, I will introduce a proof of the smooth closing lemma for area-preserving diffeomorphisms on surfaces. The proof is based on a Weyl formula for Periodic Floer Homology spectral invariants and a non-vanishing result of twisted Seiberg-Witten Floer homology.  I will give an overview of some of the tools used in the proof, including the Seiberg-Witten-Floer homology and spectral flow estimates.  This is joint work with Dan Cristofaro-Gardiner and Rohil Prasad.