Equidistributed periodic orbits of $C^\infty$-generic three-dimensional Reeb flows
Speaker:
Kei Irie, RIMS, Kyoto
Date and Time:
Tuesday, June 4, 2019 - 4:00pm to 4:30pm
Location:
Fields Institute, Room 230
Abstract:
We explain a proof of the following result: for a $C^\infty$-generic contact form $\lambda$ on a closed three-manifold, there exists a sequence of periodic Reeb orbits which is equidistributed with respect to $d\lambda$. The proof is based on the volume theorem in embedded contact homology (ECH) by Cristofaro-Gardiner, Hutchings, Ramos, and inspired by the argument of Marques-Neves-Song, who proved a similar equidistribution result for minimal hypersurfaces.