2025. 09. 30.

The 24th Jarník Lecture will be held at Charles University on September 30th, this time on the topic: Computation with L-functions. The lecturer will be Research Professor Gergely Harcos, who has been leading the Automorphic Forms Research Group of the Rényi Institute since 2017.

The Jarník Lecture is a prestigious event in the world of mathematics and has been a tradition since 2002. Vojtěch Jarník was one of the most prominent professors and scientists in the 20th century history of Charles University in Prague, and his legacy is carried forward by the annual lectures.
We see the names of such prominent mathematicians among the previous lecturers as Peter M. Gruber (Vienna University of Technology), Peter Teichner (Max Planck Institute for Mathematics) or the Fields Medalist Martin Hairer (Imperial College London).

The central questions of Gergely Harcos's lecture: How many lattice points are there on a large sphere centered at the origin, and how are they distributed? How many prime numbers are there up to a large limit, and how are they distributed in the different remainder classes? We have been studying these questions systematically for at least 225 years, but we are still far from their complete solution. They led us to the key, unifying concept of number theory, the L-functions.
 

Research group:
Automorphic forms
Research department:
Number theory