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UID:6863@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20200110T110000
DTEND;TZID=Europe/Paris:20200110T120000
DTSTAMP:20241207T134231Z
URL:https://www.i2m.univ-amu.fr/evenements/dynamical-torsion-for-contact-a
 nosov-flows-yann-chaubet/
SUMMARY:Yann Chaubet (DMO\, Université Paris-Sud): Dynamical torsion for c
 ontact Anosov flows
DESCRIPTION:Yann Chaubet: We introduce a new object\, the dynamical torsion
 \, which extends the potentially ill-defined value at 0 of the Ruelle zeta
  function of a contact Anosov flow twisted by an acyclic representation of
  the fundamental group. We show important properties of the dynamical tors
 ion: it is invariant under deformations among contact Anosov flows\, it is
  holomorphic in the representation and it has the same logarithmic derivat
 ive as some refined combinatorial torsion of Turaev. This shows that the r
 atio between this torsion and the Turaev torsion is locally constant on th
 e space of acyclic representations.\nIn particular\, for contact Anosov fl
 ows path connected to the geodesic flow of some hyperbolic manifold among 
 contact Anosov flows\, we relate the leading term of the Laurent expansion
  of ζ at the origin\, the Reidemeister torsion and the torsions of the fi
 nite dimensional complexes of the generalized resonant states of both flow
 s for the resonance 0. This extends previous work of ~\\cite{dang2018fried
 } on the Fried conjecture near geodesic flows of hyperbolic 3--manifolds\,
  to hyperbolic manifolds of any odd dimension. https://arxiv.org/abs/1911.
 09931\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Yann_Chaubet.jpg
CATEGORIES:Séminaire,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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DTSTART:20191027T020000
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