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UID:20250707T035803EDT-0300EKGUuh@132.216.98.100
DTSTAMP:20250707T075803Z
DESCRIPTION:Title:Choreographies and braids in the n-body problem.\n\nAbstr
 act: In this talk\, we present a summary of results about the existence of
  periodic solutions for n bodies that are known as choreographies and brai
 ds. In the second part of the talk\, we explain how to obtain the existenc
 e of a special type of braid solutions where one body in a central configu
 ration of n bodies is replaced by a pair of bodies rotating uniformly arou
 nd its center of mass. In these solutions n−1 bodies and the center of mas
 s of the pair winds around the origin q times\, while the pair of bodies w
 inds around its center of mass p times. The proof uses blow-up techniques 
 to separate the (n+1)-body problem as the n-body problem\, the Kepler prob
 lem\, and a coupling which is small if the distance of the pair is small. 
 The formulation is variational and the result is obtained by applying a Ly
 apunov-Schmidt reduction and the use of the equivariant Lyusternik-Schnire
 lmann category.\n
DTSTART:20190923T200000Z
DTEND:20190923T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Carlos García Azpeitia\, Universidad Nacional Autónoma de México
URL:/mathstat/channels/event/carlos-garcia-azpeitia-un
 iversidad-nacional-autonoma-de-mexico-300845
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