BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251121T000846EST-9489Z8BnFS@132.216.98.100 DTSTAMP:20251121T050846Z DESCRIPTION:Title: Poincaré series and linking of Legendrian knots.\n\nAbst ract: On a compact surface of variable negative curvature\, I will explain that the Poincar´e series associated to the geodesic arcs joining two giv en points has a meromorphic continuation to the whole complex plane. This is achieved by using the spectral properties of the geodesic flow. Moreove r\, 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 wi ll explain how this result extends when one considers geodesic arcs orthog onal to two fixed closed geodesics. This is a joint work with N.V. Dang.\n \nSeminar Spectral Geometry\n Visiter le site Internet / Visite the Web sit e: https://archimede.mat.ulaval.ca/agirouard/SpectralClouds/\n DTSTART:20210927T160000Z DTEND:20210927T170000Z SUMMARY:Gabriel Rivière (Université de Nantes) URL:/mathstat/channels/event/gabriel-riviere-universit e-de-nantes-333679 END:VEVENT END:VCALENDAR