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UID:6541@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210212T110000
DTEND;TZID=Europe/Paris:20210212T120000
DTSTAMP:20241207T134950Z
URL:https://www.i2m.univ-amu.fr/evenements/modeles-hyperboliques-des-flots
 -topologiques-danosov-transtitifs-mario-shannon/
SUMMARY:Mario Shannon (UMPA\, ENS Lyon): Modèles hyperboliques des flots t
 opologiques d’Anosov transtitifs
DESCRIPTION:Mario Shannon: \n\n\nHyperbolic models of transitive topologica
 l Anosov flows.\nA topological Anosov flow on a closed 3-manifold is a non
 -singular flow that resembles very much a smooth Anosov flow: It is expans
 ive and satisfies the (global) shadowing property. Moreover\, it preserves
  a pair of transverse stable/unstable foliations that intersect along the 
 orbits of the flow. The main difference with a (smooth) Anosov flow is the
  lack of a global uniformly hyperbolic structure.\nWe investigate the ques
 tion of weather or not every topological Anosov flow in a 3-manifold is\, 
 actually\, orbit equivalent with some smooth Anosov flow. Apart from its o
 wn theoretical interest\, this question appears related with some techniqu
 es for the construction of Anosov flows on 3-manifolds\, notably with the 
 so called Fried surgery.\nOur work consists in show that\, under the hypot
 hesis of transitivity\, every topological Anosov flow is orbitally equival
 ent with a smooth Anosov flow. In this talk we are going to present the ma
 in ideas and difficulties behind the construction of these smooth hyperbol
 ic models associated with transitive topological Anosov flows. As well\, w
 e will give a flavour of how this study can be reduced to pseudo-Anosov dy
 namics on surfaces with boundary. arXiv /  https://www.theses.fr/2020UBFC
 K035\n\n\n\n\nSee also: https://people.math.osu.edu/gogolyev.1/HyperbolicD
 ay.html\nLien de connexion sur BBB :\nhttps://greenlight.lal.cloud.math.cn
 rs.fr/b/olg-3h3-cjk\n\nAccess Code : voir mail\n\n\n\n\n\n\n\n\n\n\n\n\nAn
 osov flows (arxiv.org/abs/1910.08457\, fig.6)\n\n\n\n\n\n
CATEGORIES:Séminaire,Rauzy
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