KolloquiumGRK Rationality of Poincaré series at 0 for surfaces |  |
Speaker:Nguyen Viet Dang, Institut Camille, Jordan-Université Claude Bernard Lyon
Organizer:Fakultät für Mathematik und Informatik
Details:
This is joint work with Gabriel Rivière. On a surface with negative curvature, we show that Poincaré series counting geodesic arcs orthogonal to certain curves have meromorphic continuation to the complex plane. When these curves are homologically trivial geodesics, we show there are no poles at 0 and rationality of the value at 0 by interpreting this value as a linking number for Legendrian knots.
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Type:Colloquium
Language:English
Category:Research
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Direct link to event:https://events.goettingen-campus.de/event?eventId=20703
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