Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Monday 8 November 2021
Time 16:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Fanoni
Speaker's First Name Federica
Speaker's Email Address
Speaker's Institution CNRS et LAMA, Créteil
Title Isospectral Hyperbolic Surfaces of Infinite Genus
Abstract Two hyperbolic surfaces are said to be (length) isospectral if they have the same collection of lengths of primitive closed geodesics, counted with multiplicity (i.e. if they have the same length spectrum). For closed surfaces, there is an upper bound on the size of isospectral hyperbolic structures depending only on the topology. We will show that the situation is very different for infinite-type surfaces, by constructing large families of isospectral hyperbolic structures on surfaces of infinite genus.
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets
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