Ημερομηνία:Παρασκευή 3 Νοεμβρίου 2023
Ώρα: 13:00-15:00
Τόπος: Α22
Oμιλητής: Δημήτριος Χατζάκος, Πανεπιστήμιο Πατρών
Τίτλος: The Prime geodesic theorem in arithmetic progressions
Περίληψη: The Prime geodesic theorem states that the distribution of the lengths of primitive closed geodesics on Riemann surfaces has a similar asymptotic behaviour with the distribution of prime numbers.

In this talk we will discuss an analogue of Dirichlet's theorem in arithmetic progressions for the lengths of primitive closed geodesics on the  modular surface. In particular, we prove two conjectures of Golovchanskii and Smotrov  from 1999.

This is a joint work with Gergely Harcos and Ikuya Kaneko.

Το πρόγραμμα του σεμιναρίου για το ακαδημαϊκό έτος 2023-24 βρίσκεται στη διεύθυνση: https://sites.google.com/view/analysis-seminar-samps/