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SUMMARY: Counting periodic orbits. LMS Hardy Lecture - Eva Miranda (Univer
 sitat Politecnica de Catalunya)
DTSTART:20230530T153000Z
DTEND:20230530T163000Z
UID:TALK196675@talks.cam.ac.uk
CONTACT:Professor Maciej Dunajski
DESCRIPTION:The trajectory of a satellite that comes back to its origin de
 scribes 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 t
 wo conjectures: the Weinstein conjecture and the Arnold conjecture. In thi
 s talk\, we will go through the common patterns in this search featuring t
 he revolutionary path inaugurated by Andreas Floer. We will present some r
 ecent results for open symplectic manifolds that can be compactified as si
 ngular symplectic manifolds. Singular symplectic structures also show up i
 n the space of geodesics of the Lorentz plane and furnish a natural phase 
 space for regularized problems in celestial mechanics such as the restrict
 ed 3-body problem.
LOCATION:CMS\, MR9
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