Recent progress on the Fried conjecture
Recent developments in microlocal analysis October 14, 2019 - October 18, 2019
Location: MSRI: Simons Auditorium
Ruelle zeta function
37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
I will talk about joint work with Guillarmou, Rivière, Shen and ongoing work with Chaubet on the relation between Ruelle zeta functions of contact Anosov flows and various forms of torsions. The goal of these works is to understand the Fried conjecture for smooth Anosov flows beyond constant negative curvature.
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