Group Actions and Harmonic Analysis in Number Theory

  • Valentin Blomer

    Universität Bonn, Germany
  • Manfred Einsiedler

    ETH Zürich, Switzerland
  • Emmanuel Kowalski

    ETH Zürich, Switzerland
  • Maryna Viazovska

    Ecole Polytechnique Fédérale de Lausanne, Switzerland

Abstract

This workshop 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 on number theory. Special emphasis is put on equidistribution problems on arithmetic symmetric spaces, effective methods in homogeneous dynamics, periods of automorphic forms, families of -functions over number fields and function fields, and applications of Fourier uniqueness.

Cite this article

Valentin Blomer, Manfred Einsiedler, Emmanuel Kowalski, Maryna Viazovska, Group Actions and Harmonic Analysis in Number Theory. Oberwolfach Rep. 20 (2023), no. 2, pp. 1195–1262

DOI 10.4171/OWR/2023/22