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SUMMARY:Peter Hochs (Radboud University)
DTSTART:20240424T190000Z
DTEND:20240424T200000Z
DTSTAMP:20260420T053456Z
UID:NYC-NCG/160
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/160/
 ">The equivariant Fried conjecture for suspension flow</a>\nby Peter Hochs
  (Radboud University) as part of Noncommutative geometry in NYC\n\n\nAbstr
 act\nRay-Singer analytic torsion is a topological invariant of compact man
 ifolds\, which can be used to distinguish between homotopy equivalent mani
 folds that are not homeomorphic. The Ruelle dynamical zeta function is a p
 roperty of flows on compact manifolds\, which encodes information on perio
 dic flow curves. Interestingly\, the absolute value of this function at ze
 ro is often equal to the analytic torsion of the manifold\, even though th
 e latter does not involve the flow at all. Fried’s conjecture is the pro
 blem to determine when this equality holds. With Saratchandran\, we constr
 ucted equivariant versions of analytic torsion and the Ruelle zeta functio
 n for proper group actions\, and posed the question when an equivariant ve
 rsion of Fried’s conjecture holds. With Pirie\, we are investigating thi
 s conjecture for a specific type of flows: suspension flows of diffeomorph
 isms.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/160/
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