| Wednesday 30 July 2025 | |
| Events for day: Wednesday 01 January 2025 |
| 15:30 - 17:00 Geometry and Topology Weekly Seminar Hyperbolic Geometry and Continued Fractions School MATHEMATICS In this talk, we are going to uncover a paper written by E. Artin one hundred years ago, in 1924, entitled (in German) "Ein mechanisches System mit quasi-ergodischen Bahnen". "A Mechanical System with Quasi-Ergodic Trajectories " The connection between continued fractions and geodesics in the hyperbolic plane goes back to Humbert (1916) and Smith (1877) and it is used in an ingenious way by E. Artin in the above paper provided the first example of a dense geodesic trajectory on a special Riemann surface, the so-called "modular surface". In the first part of the talk, we will try to cover some preliminaries and generalities about di ... |