BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250706T035840EDT-3217cpEtIJ@132.216.98.100
DTSTAMP:20250706T075840Z
DESCRIPTION:Title: Symmetries and choreographies in the N-body problem\n\nA
 bstract:\n\nN-body choreographies are periodic solutions to the N-body equ
 ations in which N equal masses chase each other around a fixed closed curv
 e. In my talk I will describe numerical and rigorous continuation and bifu
 rcation techniques in a boundary value setting used to follow Lyapunov fam
 ilies of periodic orbits. These arise from the polygonal system of n bodie
 s in a rotating frame of reference. When the frequency of a Lyapunov orbit
  and the frequency of the rotating frame have a rational relationship\, th
 e orbit is also periodic in the inertial frame. We prove that a dense set 
 of Lyapunov orbits\, with frequencies satisfying a Diophantine equation\, 
 correspond to choreographies. I will present a sample of the many choreogr
 aphies that we have determined numerically along the Lyapunov families and
  bifurcating families. I will also talk about the computer assisted proofs
  that validate some of theses choreographies. This is joint work with Euse
 bius Doedel\, Carlos García Azpeitia\, Jason Mireles-James and Jean-Philip
 pe Lessard.\n
DTSTART:20190408T200000Z
DTEND:20190408T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Renato Calleja (IIMAS-UNAM)
URL:/mathstat/channels/event/renato-calleja-iimas-unam
 -295933
END:VEVENT
END:VCALENDAR