Non-Archimedean Geometry and Applications
Johannes Nicaise
University of Leuven, BelgiumPeter Scholze
Max Planck Institute for Mathematics, Bonn, GermanyMichael Temkin
The Hebrew University of Jerusalem, IsraelAnnette Werner
Goethe-Universität Frankfurt, Frankfurt am Main, Germany

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