Status  Confirmed 
Seminar Series  MATHIHES 
Subjects  hepth 
Date  Monday 15 January 2018 
Time  14:30 
Institute  IHES 
Seminar Room  Amphithéâtre Léon Motchane 
Speaker's Last Name  Parlier 
Speaker's First Name  Hugo 
Speaker's Email Address  
Speaker's Institution  Université du Luxembourg 
Title  Quantifying isospectral finiteness 
Abstract  Associated to a closed hyperbolic surface is its length spectrum, the set of the lengths of all of its closed geodesics. Two surfaces are said to be isospectral if they share the same length spectrum. The talk will be about the following questions and how they relate: • How many questions do you need to ask a length spectrum to determine it? • How many different surfaces can be isospectral to a surface of a given genus? The approach to these questions will include finding adapted coordinate sets for moduli spaces and exploring McShane type identities. 
arXiv Preprint Number  
Comments  Séminaire Géométrie et groupes discrets 
Attachments 
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[ English version ] 