Konferenzen  >  Mathematik  >  Zahlentheorie, Arithmetik  >  Deutschland

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.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

This proposal focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused in number theory. A special emphasis is on equidistribution problems on arithmetic symmetric spaces, effective methods in homogeneous dynamics, periods of automorphic forms, families of L-functions over number fields and functions fields, and applications of Fourier uniqueness.

Analysis,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

Hausdorff Center for Mathematic

This school provides an introduction to some of the main topics of the trimester program. It is mainly directed at PhD students and junior researchers.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

MPI f. Mathematik, Bonn

The aim of the conference is to bring together early-stage career researchers in number theory (PhD students and postdocs who have obtained their PhD in 2021 or later). We hope that the friendly and engaging atmosphere will encourage the participants to ask questions and discuss their research freely, talk about future job applications and other important aspects of a career in academia. Furthermore, participants will be able to apply to give talks to describe the problems they are working on.

The aim of the conference is to bring together researchers at the crossroads of algebra and number theory working on dynamic or asymptotic aspects.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)