Discriminants of periodic geodesics on the modular surface
Vortrag von Prof. Dr. François Maucourant
Datum: 30.10.24 Zeit: 13.30 - 14.30 Raum: Y27H28
We'll recall how to attach to a periodic geodesic of H^2/PSL(2,Z) an arithmetical quantity, its discriminant. After discussing how to pick a geodesic at random, we will show that 'most' geodesics have large discriminant when ordered by length, and that 42% of them have a fundamental discriminant.