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DTSTART:20250330T030000
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DTSTAMP:20260424T170608Z
UID:66a376b9cc554700538029@ist.ac.at
DTSTART:20250225T140000
DTEND:20250225T153000
DESCRIPTION:Speaker: Sébastien Biebler\nhosted by Kaloshin Group\nAbstract
 : One of the main goals in the theory of dynamical systems is to describe 
 the dynamics of a “typical” map. For instance\, in the case of diffeom
 orphisms of a given manifold\, it was conjectured by Smale in the 60s that
  uniform hyperbolicity was generically satisfied. This hope was however fa
 st discouraged by exhibiting dynamical systems displaying in a robust way 
 dynamical configurations which are obstructions to hyperbolicity: robust h
 omoclinic tangencies (this is the so-called Newhouse phenomenon) and robus
 t heterodimensional cycles. In this talk\, I will explain these phenomena 
 and their extensions to the complex setting. In particular\, I will show h
 ow to construct robust heterodimensional cycles in the family of polynomia
 l automorphisms of C3. The main tool is the notion of blender coming from
  real dynamics.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:cfrancois@ist.ac.at
SUMMARY:Sébastien Biebler: Non-density of hyperbolicity in complex dynamic
 s in several variables
URL:https://talks-calendar.ista.ac.at/events/5139
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