Windings of closed geodesics and number theory
Event details
| Date | 04.04.2022 |
| Hour | 15:15 › 16:45 |
| Speaker | Claire Burrin (University of Zürich) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
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 study 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.
Practical information
- Informed public
- Free
Organizer
- Matthew De Courcy-Ireland
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)