Ruelle Zeta Function from Field Theory

Michele Schiavina (ETH Zürich)

Tue Jan 25, 14:00-15:00 (3 days ago)

Abstract: I will discuss a field-theoretic interpretation of Ruelle's zeta function, which "counts" prime geodesics on hyperbolic manifolds, as the partition function for a topological field theory (BF) with an unusual gauge fixing condition available on contact manifolds. This suggests a rephrasing of a conjecture due to Fried, on the equivalence between Ruelle's zeta function (at zero) and the analytic torsion, as gauge-fixing independence in the Batalin--Vilkovisky formalism.

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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Organizers: Jan Dereziński, Marcello Porta*, Kasia Rejzner*, Hal Tasaki*
*contact for this listing

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