CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici Olomorfi 2013-2014

seminar: L-functions and Anosov flows

speaker: Paolo Giulietti (Dipartimento di Matematica, Università di Pisa)

abstract: It is known that given a closed, oriented, hyperbolic manifold and a good de-

scription of its fundamental group, it is possible to compute the analytic torsion

of the manifold by using closed geodesics and their lengths. As in 1, we will

show that, among other statistical informations, such computation is encoded in an

L-function, which is a meromorphic function, well-defined at least on some half

complex plane, similar in spirit to other dynamical zeta functions. The questions

to be answered, for such class of functions, are tied to their analytic continuation,

the location of their zeros and poles. In particular,

L-functions can be defined

for Anosov flows and, in such case, can be studied through a functional analytic

approach based, as in 2, on transfer operator and anisotropic spaces

Tue 4 Feb, 12:00 - 12:45, Sala Conferenze Centro De Giorgi
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