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SUMMARY:Renormalization\, fractal geometry\, and the Newhouse phenomenon
DTSTART:20221205T170000
DTEND:20221205T180000
DTSTAMP:20260930T195036Z
UID:eb14a3125bc2787e224adfb0afd709ab62b8db164c9b5699b4f4dd36
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Artur Avila\,  U. of Zürich & IMPA (Fields Medal 2014
 )\n\nEPFL Mathematics Colloquium at 5pm (sharp) on December 5th\, followed
  by an apéritif\nAs discovered by Poincaré in the end of the 19th centu
 ry\,\neven small perturbations of very regular dynamical systems may disp
 lay chaotic features\, due to complicated interactions near a homoclinic 
 point.  In the 1960s\, Smale attempted to understand such dynamics in te
 rm of a stable model\, the horseshoe\, but this was too optimistic.  Ind
 eed\, Newhouse showed that even in only two dimensions\, a homoclinic bif
 urcation gives rise to particular wild dynamics\, such as the generic pre
 sence of infinitely many attractors.  This Newhouse phenomenon is assoc
 iated to a renormalization mechanism\, but also with particular geometric
  properties of some fractal sets within a Smale horseshoe.  When conside
 ring two-dimensional complex dynamics those fractal sets become much more
  beautiful but unfortunately also more difficult to handle.\nPlease note 
 that registration prior to November 18 is required\, via\n \nhttps://fo
 rms.gle/xr7SVNF9FxoAELMY7\n\n 
LOCATION:CM 1 5 https://plan.epfl.ch/?room==CM%201%205
STATUS:CONFIRMED
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