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Counting periodic orbits. LMS Hardy Lecture

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  • UserEva Miranda (Universitat Politecnica de Catalunya)
  • ClockTuesday 30 May 2023, 16:30-17:30
  • HouseCMS, MR9.

If you have a question about this talk, please contact Professor Maciej Dunajski .

The trajectory of a satellite that comes back to its origin describes a periodic orbit. The search for periodic orbits has a long story. In the realm of Symplectic and contact topology, it has been guided by two conjectures: the Weinstein conjecture and the Arnold conjecture. In this talk, we will go through the common patterns in this search featuring the revolutionary path inaugurated by Andreas Floer. We will present some recent results for open symplectic manifolds that can be compactified as singular symplectic manifolds. Singular symplectic structures also show up in the space of geodesics of the Lorentz plane and furnish a natural phase space for regularized problems in celestial mechanics such as the restricted 3-body problem.

This talk is part of the Mathematical Physics Seminar series.

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