A Strong Closing Lemma for Ellipsoids

Explore a compelling conference talk on the strong closing lemma for ellipsoids, presented by Rohil Prasad from Princeton University at the Western Hemisphere Virtual Symplectic Seminar. Delve into Prasad's proof of Irie's conjecture regarding the "strong closing property" for Reeb flows on ellipsoid boundaries. Discover how the speaker utilizes spectral invariants from contact homology and higher-dimensional holomorphic intersection theory to demonstrate that a Reeb orbit can be created in any open set through a C^\infty-small compactly supported perturbation of the contact form. Gain insights into this collaborative work with J. Chaidez, I. Datta, and S. Tanny, and engage with thought-provoking questions from renowned mathematician Dusa McDuff about closed Reeb orbits and their periods.

Dusa McDuff: do you mean a closed Reeb orbit?
Dusa McDuff: presumably you have no control of the period of the orbit?