Arithmetic of Shimura Varieties

  • Laurent Fargues

    Université de Paris VI, Paris, France
  • Ulrich Görtz

    Universität Essen, Germany
  • Eva Viehmann

    TU München, Garching, Germany
  • Torsten Wedhorn

    Technische Universität Darmstadt, Germany
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The aim of this workshop was to discuss recent developments on the arithmetic of Shimura varieties and on related topics within the Langlands program, and to initiate and support further research in this direction. The talks presented new methods and results covering topics ranging from geometric questions on the reduction of Shimura varieties to representations in their cohomology, automorphic forms, and questions on the geometry and arithmetic of moduli spaces of bundles on the Fargues-Fontaine curve.

Cite this article

Laurent Fargues, Ulrich Görtz, Eva Viehmann, Torsten Wedhorn, Arithmetic of Shimura Varieties. Oberwolfach Rep. 20 (2023), no. 1, pp. 261–326

DOI 10.4171/OWR/2023/5