Talk page

Title:
Generic equidistribution of periodic orbits for area-preserving surface diffeomorphisms

Speaker:
Rohil Prasad

Abstract:
I will discuss some recent work showing that a generic area-preserving diffeomorphism of a closed surface has an equidistributed sequence of periodic orbits. The proof uses several properties of spectral invariants from periodic Floer homology, along with a variational argument originating in work of Marques-Neves-Song and Irie regarding equidistribution results for minimal hypersurfaces and Reeb flows, respectively.

Link:
https://www.ias.edu/video/generic-equidistribution-periodic-orbits-area-preserving-surface-diffeomorphisms