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Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

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Date: 
Mon, 24/04/2023 - 09:00 - Fri, 28/04/2023 - 16:00

Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

The field of arithmetic statistics is a fast-moving area of number theory, dealing with distributional results for many basic and important objects: ranks of elliptic curves, central values of L-functions, number fields, modular symbols, orbits of discrete groups etc. The techniques involved come from diverse areas of mathematics e.g. automorphic forms, ergodic theory, spectral theory, dynamical systems, probabilistic number theory, representation theory and random matrix theory. This workshop intends to bring together researchers of all career levels to present their work and exchange ideas and techniques on arithmetic statistics. Motivated by the  programme of Mazur and Rubin based on their computational study of elliptic curves over abelian extensions of fixed degree, the meeting will focus on modular symbols, Manin's noncommutative modular symbols, equidistribution of lattice points on the sphere, Heegner points, and closed geodesics, including the error term in the Prime Geodesic Theorem.

There will be invited talks lasting 50 or 25 minutes and other events aimed at facilitating discussions among participants.

In case you have any questions, please contact aristat$@$mpim-bonn$.$mpg$.$de.

Financial support

We encourage participants to seek external funding, so that the limited financial support available can be primarily used for early career mathematicians. In case you do need financial support, you can indicate this in the registration form.

Registration

If you would like to participate, please register before November 30, 2022 (we reserve the right to close the registration earlier, depending on demand). We especially welcome applications from members of minority groups. The total number of participants is limited and, after the deadline, we will inform the registered participants that were not already invited if participation is possible.
You are welcome to REGISTER HERE.

Hotels nearby

For a list of hotels near the MPIM, please see here.

Main speakers

Edgar Assing - University of Bonn
Sandro Bettin - University of Genova
Valentin Blomer - University of Bonn
Claire Burrin - ETH Zürich
Petru Constantinescu - EPFL
Alex Cowan - Harvard
Sary Drappeau - Aix-Marseille Université
Gergely Harcos - Central European University
Jeff Hoffstein - Brown University
Özlem Imamoglu -  ETH Zürich (TBC)
Emmanuel Kowalski - ETH Zürich
Jungwon Lee - University of Warwick
Sunhee Lim - Seoul National University
Philippe Michel - EPFL
Asbjørn Nordentoft - Université Paris Sorbonne Nord
Jennifer Park - Ohio State University
Anke Pohl - University of Bremen
Morten Risager - University of Copenhagen
Hae-Sang Sun - UNIST
Matthew Welsh - University of Bristol

Organisers

Nikos Diamantis - University of Nottingham
Min Lee - University of Bristol
Pieter Moree - Max Planck Institute for Mathematics
Yiannis Petridis - University College London

 

We thank Barry Mazur and Karl Rubin for the permission to use the above figure:

(https://www.math.uci.edu/~krubin/lectures/simons.pdf)

 

Policy for the Max Planck Society against discrimination, harassment and violence.

 

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