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SUMMARY:Dynamical zeta functions\, trace formulae and applications
DTSTART;VALUE=DATE-TIME:20190514T120000Z
DTEND;VALUE=DATE-TIME:20190514T140000Z
DTSTAMP;VALUE=DATE-TIME:20220123T205408Z
UID:indico-event-4657@indico.math.cnrs.fr
DESCRIPTION:The dynamical zeta functions of Ruelle and Selberg are functio
ns of a complex variable \\(s\\) and are associated with the geodesic flow
on the unit sphere bundle of a compact hyperbolic manifold. Their represe
ntation by Euler-type products traces back to the Riemann zeta functio
n. In this talk\, we will present trace formulae and Lefschetz formulae\
, and the machinery that they provide to study the analytic properties of
the dynamical zeta functions and their relation to spectral invariants. In
addition\, we will present other applications of the Lefschetz formula\,
such as the prime geodesic theorem for locally symmetric spaces of higher
rank.\n\nhttps://indico.math.cnrs.fr/event/4657/
LOCATION:Tours E1180 (Bât E2)
URL:https://indico.math.cnrs.fr/event/4657/
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