Speaker: Dr. Oliver Edtmair (University of California, Berkeley)
Time: 14:00-15:00 May 31, 2024 (Friday)
Place: MCM410
Title: Systoles of convex energy hypersurfaces
Abstract: Hofer-Wysocki-Zehnder proved that every strictly convex energy hypersurface in R^4 possesses a disk-like global surface of section. They asked whether a systole, i.e. a periodic orbit of least action, must span such a disk-like global surface of section. In my talk, I will give an affirmative answer to this question, based on joint work in progress with Abbondandolo and Kang. I will explain how this result can be used to obtain a sharp symplectic embedding result for convex domains in R^4. Moreover, I will explain how this relates to the strong Viberbo conjecture on the equivalence of normalized symplectic capacities.
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