Orateur(s) | Gabriel Rivière - Nantes,
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Titre | Poincaré series and linking of Legendrian knots |
Date | 16/04/2021 |
Horaire | 14:00 à 15:45 |
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Diffusion | |
Résume | On a compact surface of variable negative curvature, I will explain that the Poincaré series associated to the geodesic arcs joining two given points has a meromorphic continuation to the whole complex plane. Moreover, its value at 0 is rationnal and it can be expressed in terms of the genus of the surface by interpreting it in terms of the linking of two Legendrian knots. If time permits, I will explain how this result extends when one considers geodesic arcs orthogonal to two fixed closed geodesics. This is a joint work with N.V. Dang (Lyon). |
Salle | 15-25-502 |
Adresse | Campus Pierre et Marie Curie |