On Fried conjecture (Lefschetz formula for flows) for Anosov flows

Colin Guillarmou (Orsay)

Abstract

Fried conjecture that for a large class of flows with hyperbolicity, the twisted Ruelle zeta function R(s) (an infinite product over closed orbits) has a topological value at s=0, and that this value is related to Reidemeister torsion. We'll discuss recent results in that direction. Joint work with Dang, Riviere, and Shen.