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UID:6530@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210219T110000
DTEND;TZID=Europe/Paris:20210219T120000
DTSTAMP:20241207T134957Z
URL:https://www.i2m.univ-amu.fr/evenements/decompositions-en-livre-ouvert-
 dune-suspension-dun-flot-anosov-et-des-structures-affines-mario-shannon/
SUMMARY:Mario Shannon (UMPA\, ENS Lyon): Décompositions en livre ouvert d
 ’une suspension d’un flot Anosov et des structures affines
DESCRIPTION:Mario Shannon: Open book decompositions of a suspension Anosov 
 flow and affine structures.\nDespite the good comprehension that we have n
 owadays about the asymptotic dynamical behaviour of a general Anosov flow\
 , classification of the different orbital equivalent classes rest a major 
 subject nowadays. In the particular case of dimension three\, a lot of dif
 ferent examples of Anosov flows can be constructed using surgery methods\,
  which shows that the set of different equivalence classes is not at all s
 imple to describe.\nIf we restrict to the special subfamily of transitive 
 3-dimensional Anosov flows\, each flow has (many) associated open book dec
 ompositions of the 3-manifold with pseudo-Anosov monodromy. Since pseudo-A
 nosov homeomorphisms can be classified by terms of a combinatorial invaria
 nt\, there is a hope to produce combinatorial invariants of the orbital eq
 uivalence class of these Anosov flows in terms of those available for pseu
 do-Anosov. The problem to solve is: Given two open book decompositions wit
 h pseudo-Anosov monodromy\, how to determine if both correspond to the sam
 e flow?\nWe study a simpler question related to the previous one: Given an
  openbook decomposition with pseudo-Anosov monodromy\, can we determine wh
 ether or not the corresponding Anosov flow is a suspension Anosov flow? In
  this talk we will provide a criterion for this question based on the exis
 tence of some affine incomplete structures associated with the pseudo-Anos
 ov monodromy. In turn\, we can provide a natural bijection between the set
  of genus one Birkhoff sections of a suspension Anosov flow and these affi
 ne structures. http://www.theses.fr/2020UBFCK035\n\n\nLien de connexion BB
 B :\n \n\nhttps://greenlight.lal.cloud.math.cnrs.fr/b/olg-3h3-cjk\n \nAc
 cess Code : voir mail \n\n\n\n\n[su_spacer size="20"]
CATEGORIES:Séminaire,Hybrid,Rauzy
LOCATION:St Charles - FRUMAM\, 3\, place Victor Hugo\, Marseille\, 13003\, 
 France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=St Charles - FRUMAM:geo
 :0,0
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