Non-Archimedean Geometry and Applications

  • Johannes Nicaise

    University of Leuven, Belgium
  • Peter Scholze

    Max Planck Institute for Mathematics, Bonn, Germany
  • Michael Temkin

    The Hebrew University of Jerusalem, Israel
  • Annette Werner

    Goethe-Universität Frankfurt, Frankfurt am Main, Germany
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Abstract

The workshop focused on recent developments in non-Archimede-an analytic geometry with various applications to other fields. The topics of the talks included foundational results on analytic spaces as well as applications to the local Langlands conjecture, -adic cohomology theories, Shimura varieties, the non-Archimedean Simpson correspondence, and to questions on metrics in complex geometry, in the spirit of -stability.

Cite this article

Johannes Nicaise, Peter Scholze, Michael Temkin, Annette Werner, Non-Archimedean Geometry and Applications. Oberwolfach Rep. 22 (2025), no. 2, pp. 1517–1578

DOI 10.4171/OWR/2025/29