Event

Gabriel Rivière (Université de Nantes)

Monday, September 27, 2021 12:00to13:00

Title: Poincaré series and linking of Legendrian knots.

Abstract: On a compact surface of variable negative curvature, I will explain that the Poincar´e series associated to the geodesic arcs joining two given points has a meromorphic continuation to the whole complex plane. This is achieved by using the spectral properties of the geodesic flow. Moreover, the value of Poincar´e series value at 0 is rationnal in that case 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.

Seminar Spectral Geometry
Visiter le site Internet / Visite the Web site: https://archimede.mat.ulaval.ca/agirouard/SpectralClouds/

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