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Seminar

FHT Program Seminar: Arnol’d Conjecture Over the Integers September 22, 2022 (01:15 PM PDT - 02:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Shaoyun Bai (MSRI - Mathematical Sciences Research Institute)
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FHT Program Seminar: Arnol’d Conjecture Over The Integers

Abstract/Media

To participate in this seminar, please register HERE.

We show that for any closed symplectic manifold, the number of 1-periodic orbits of a non-degenerate Hamiltonian is bounded from below by a version of total Betti numbers over Z, which takes account of torsions of all characteristic. The proof relies on the construction of a Hamiltonian Floer theory over Z, which further depends on our early work with Xu and a construction of Kuranishi flow category with smooth global charts generalizing recent work of Abouzaid-McLean-Smith. This is joint work with Guangbo Xu.

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FHT Program Seminar: Arnol’d Conjecture Over The Integers