CRM: Centro De Giorgi
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Low dimensional geometric dynamics

Volume in Seiberg-Witten theory

speaker: Daniel Cristofaro-Gardiner (Department of Mathematics University of California, Berkeley)

abstract: The "short Reeb orbit conjecture" states that on any closed three-manifold with a contact form, there is always a Reeb orbit of length no longer than the square root of the contact volume. This was recently disproved by Abbondandolo, Bramham, Hryniewicz, and Salomão. Hutchings, Ramos and I used Seiberg-Witten theory to prove an asymptotic version of this conjecture, however. I will explain our proof.


timetable:
Fri 24 Apr, 9:30 - 10:30, Aula Dini
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