Automorphic Forms and Arithmetic

  • Valentin Blomer

    Universität Bonn, Germany
  • Emmanuel Kowalski

    ETH Zürich, Switzerland
  • Philippe Michel

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
  • Maryna Viazovska

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
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Abstract

The workshop was at the interface of automorphic forms and analytic number theory. The aim was to disseminate, discuss and develop important new methods and results in the analytic theory of automorphic forms, in particular on higher rank groups, as well as their arithmetic applications. This includes, for instance, the study of various aspects of -functions such as moments, reciprocity laws, and probabilistic aspects, counting problems with automorphic forms, applications of results of algebraic geometry to automorphic forms, as well as analytic aspects of automorphic forms over function fields.

Cite this article

Valentin Blomer, Emmanuel Kowalski, Philippe Michel, Maryna Viazovska, Automorphic Forms and Arithmetic. Oberwolfach Rep. 17 (2020), no. 2/3, pp. 1317–1383

DOI 10.4171/OWR/2020/26