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SUMMARY:Christian Bonatti (Univ. Bourgogne)
DTSTART:20200424T140000Z
DTEND:20200424T150000Z
DTSTAMP:20260423T021827Z
UID:ResDin/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ResDin/2/">P
 artially hyperbolic diffeomorphism on 3-manifolds</a>\nby Christian Bonatt
 i (Univ. Bourgogne) as part of Resistência dinâmica (Dynamical resistanc
 e)\n\n\nAbstract\nPartially hyperbolic diffeomorphisms is a structure whic
 h allowed to build the\nfirst examples of non-hyperbolic undecomposable dy
 namical systems\, in the topological and ergodical meaning: robustly trans
 itive\, or stably ergodic. Until the last decades\, there were few example
 s in dimension 3. Up to finite cover or iteration the examples fit into th
 e following categories:\n- skew products of Anosov linear automorphisms of
  the 2-torus by diffeomorphisms of the circle\n- central deformations of A
 nosov linear automorphisms of the 3 torus\n- discretisations of Anosov flo
 ws\nDoes there exist other examples? This problem is known as "Pujals' con
 jecture"\, after a talk where Enrique Pujals presented the partially hyper
 bolic diffeomorphisms as being one of these examples. I will discuss this 
 conjecture\, which has recent progress in both directions.\n
LOCATION:https://researchseminars.org/talk/ResDin/2/
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