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The smooth closing lemma for area-preserving surface diffeomorphisms
January 6, 2022 @ 9:00 am - 10:00 am
![](https://cmsa.fas.harvard.edu/media/CMSA-Interdisciplinary-Science-Seminar-01.06.22.png)
Speaker: Boyu Zhang, Princeton University
Title: The smooth closing lemma for area-preserving surface diffeomorphisms
Abstract: In this talk, I will introduce the smooth closing lemma for area-preserving diffeomorphisms on surfaces. The proof is based on a Weyl formula for PFH spectral invariants and a non-vanishing result of twisted Seiberg- Witten Floer homology. This is joint work with Dan Cristofaro-Gardiner and Rohil Prasad.