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Mathematical Conversations

Weyl laws and dense periodic orbits

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.

Featuring

Michael Hutchings

Speaker Affiliation

University of California, Berkeley

Affiliation

Mathematics

Event Series

Date & Time
July 08, 2020 | 5:307:00pm

Location

Remote Access Only

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