BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250713T015643EDT-1341Bltegw@132.216.98.100
DTSTAMP:20250713T055643Z
DESCRIPTION:Title:Periodic orbits of Hamiltonian systems: the Conley conjec
 ture and beyond.\n\nAbstract: One distinguishing feature of Hamiltonian dy
 namical systems is that such systems\, with very few exceptions\, tend to 
 have numerous periodic orbits and these orbits carry a lot of information 
 about the dynamics of the system. In 1984 Conley conjectured that a Hamilt
 onian diffeomorphism (i.e.\, the time-one map of a Hamiltonian flow) of a 
 torus has infinitely many periodic points. This conjecture was proved by H
 ingston some twenty years later\, in 2004. Similar results for Hamiltonian
  diffeomorphisms of surfaces of positive genus were also established by Fr
 anks and Handel. Of course\, one can expect the Conley conjecture to hold 
 for a much broader class of closed symplectic manifolds and this is indeed
  the case as has been proved by Gurel\, Hein and the speaker. However\, th
 e conjecture is known to fail for some\, even very simple\, phase spaces s
 uch as the sphere. These spaces admit Hamiltonian diffeomorphisms with fin
 itely many periodic orbits -- the so-called pseudo-rotations -- which are 
 of particular interest in dynamics.\n	\n	In this talk\, mainly based on join
 t work with Gurel\, we will discuss the role of periodic orbits in Hamilto
 nian dynamics and the methods used to prove their existence\, and examine 
 the situations where the Conley conjecture does not hold.\n
DTSTART:20190208T210000Z
DTEND:20190208T220000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy\, 201 Ave. Preside
 nt-Kennedy
SUMMARY:Viktor Ginzburg\, University of California\, Santa Cruz
URL:/mathstat/channels/event/viktor-ginzburg-universit
 y-california-santa-cruz-293917
END:VEVENT
END:VCALENDAR