April 17, 2023 to July 14, 2023
Institut Henri Poincaré, Paris
Europe/Paris timezone

Michele Schiavina : Fried's conjecture in quantum field theory

Jul 7, 2023, 10:45 AM
Amphitheater Darboux (Institut Henri Poincaré, Paris)

Amphitheater Darboux

Institut Henri Poincaré, Paris

11, rue Pierre et Marie Curie 75005 Paris


I will discuss a field-theoretic interpretation of Ruelle zeta function, which "counts" prime geodesics on hyperbolic manifolds, as the partition function for a topological field theory (BF) with an axial-type gauge fixing condition available on the unit sphere bundle of the hyperbolic manifold. This suggests a rephrasing of a conjecture due to Fried, on the equivalence between Ruelle zeta function and analytic torsion, as gauge fixing independence in the Batalin--Vilkovisky formalism.
This is based on joint works with C. Hadfield and S. Kandel, as well as with T. Stucker.

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