Séminaire Doctorants
organisé par l'équipe DOCT
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Marthe Guillermit
Volumes of moduli spaces of hyperbolic surfaces
10 juin 2026 - 16:30Salle de séminaires IRMA
Over the past decade, the study of the asymptotic growth of volumes has yielded numerous results on the length spectrum and on the spectrum of the Laplacian of typical high-genus surfaces. A more precise understanding of the expansion of the volumes allows us to figure out what happens to the counting functions of closed geodesics of length less than L at the threshold square-root of g.