Windings of closed geodesics and number theory

Abstract: In his 2006 ICM lecture, Ghys made the following observation: the winding of a closed geodesic around the cusp of the modular surface can be computed using a function from the theory of modular forms; the Rademacher function. In joint work with Flemming von Essen, we studied how and when generalizations of the Rademacher function also encode the winding for closed geodesics around the cusps of hyperbolic surfaces. For certain families of surfaces, we use a Selberg trace formula argument to obtain precise statistical results on these winding numbers.

dynamical systems

Audience: researchers in the topic

Bremen Online Dynamics Seminar

Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.

The meeting links are announced via the seminar mailing list, a few days before the talks. To subscribe please send an email with subject "subscribe" (without the ") to bods-request@mailman.zfn.uni-bremen.de or visit the webpage

mailman.zfn.uni-bremen.de/cgi-bin/mailman/listinfo/bods

This mailing list is used only for the purpose of the announcements. No spam! You can unsubscribe at any time following the instructions in the emails or on the webpage above.