AF/NT seminar
Krakow, Poznań
Krakow, Poznań
Organizers: Mikołaj Frączyk (UJ), Jolanta Marzec-Ballesteros (UAM) and Anna Szumowicz (UJ)
Automorphic Forms/ Number Theory seminar is a recurrent meeting wandering between Jagiellonian University in Krakow (JU) and Adam Mickiewicz University in Poznań (AMU), typically on the first Monday of the month. We plan to have two invited speakers per session preceded by introductory talks by junior faculty or graduate students.
We have limited funds to support travel for the participants from Poland to the seminar venue.
Talks in Krakow will take place in the Conference Hall B under the library at the Faculty of Mathematics and Computer Science of JU . Talks in Poznań will take place in the seminar room B1-37 at the Faculty of Mathematics and Computer Science of AMU.
If you would like to join one of the talks online, contact one of the organizers to obtain a link.
Upcoming Meetings
November 7th, 2025 (Kraków)
Intro talk
13:15-14:15 Jan Vonk (Leiden University)
Title: Around the class number one problem
Abstract: As part of a systematic computational study of equivalence classes of binary quadratic forms, Gauss stated several conjectures on their class numbers. In this talk, I will discuss some recent results related to these conjectures, with a special emphasis on the more recent geometric viewpoint on such questions using non-split Cartan modular curves.
Main talk
14:30-15:30 Jan Vonk (Leiden University)
Title: p-adic height pairings of geodesics
Abstract: I will discuss a certain p-adic height pairing of real quadratic geodesics on modular curves. The motivation for studying this pairing comes from its relation to real quadratic (RM) singular moduli. I will discuss how the interpretation of this height pairing as a triple product period sheds light on the conjectures that were made when RM singular moduli were defined. This is joint work with Henri Darmon.
December 5th, 2025 (Poznań)
Didier Lesesvre (Université de Lille)