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Seminar on Complex Analysis (Gonchar Seminar)
March 28, 2016 17:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


Systolic zeta function

I. K. Babenko

Université Montpellier II

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Abstract: Some homological length spectrum is defined for every Riemannian manifold. Such a spectrum consists of the lengths of the shortest closed geodesics in each 1-dimensional integer homology class of the manifold. A Dirichlet type generating function of such a spectrum is introduced in the talk. Some connections of the analytic properties of such a function with topological and metric properties of a given manifold are discussed in the talk as well.

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