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MLA-Graduate Student Seminar: Trace formulae for Anosov flows September 30, 2019 (01:30 PM PDT - 02:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Malo Jezequel (Laboratoire de Probabilités, Statistique et Modélisation)
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Statistic properties of a smooth Anosov flows may be understood through the study of the spectral theory of the generator of the flow, giving rise to the notion of Ruelle resonances. These resonances are a priori difficult to compute, however they can be described as the zeroes of an entire function defined in terms of the periodic data of the flow: the dynamical determinant. We will discuss complex analytic properties of this dynamical determinant and the validity of an other relationship between Ruelle resonances and periodic data of the flow: a trace formula conjectured by Dyatlov and Zworski.

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