Mathematical Conversations

We review a "Weyl law" in embedded contact homology, relating periods of orbits of the Reeb vector field on a contact three-manifold to volume. (This was also mentioned in the talk by Dan Cristofaro-Gardiner.) We explain a clever argument by Kei Irie which deduces from this that a generic contact form has dense periodic orbits. There is also a parallel story for minimal surfaces.