AF/NT seminar

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

December 5th, 2025 (Poznań) 

12:30 - 13:30 Didier Lesesvre (Université de Lille)

Title: A connection between zeros and central values of L-functions

Abstract: L-functions appear as generating functions encapsulating information about various objects such as Galois representations, elliptic curves, arithmetic functions, modular forms, Maass forms, etc. Studying L-functions is therefore of utmost importance in number theory at large. Two of their attached data carry critical information: their zeros, which govern the distributional behavior of underlying objects; and their central values, which are related to invariants such as the class number of a field extension.

We will discuss the important conjectures, one concerning the distribution of the zeros and one concerning the distribution of the central values, and explain a general principle that any restricted result towards the first conjecture can be refined to show that most corresponding central values have the typical distribution predicted by the second conjecture. We will instanciate this general principle in the case of L-functions attached to modular forms.