Number theory seminar 24.10.2024

Speaker: Klaus Künnemann (Regensburg)

Title: The Calabi-Yau problem in archimedean and non-archimedean geometry.

Abstract: We discuss the Calabi-Yau problem on complex manifolds and its
analog in non-archimedean geometry. The complex Calabi-Yau problem asks for solutions of a PDE of Monge–Ampere type. It was posed by Calabi in 1954 and solved by Yau in 1978. After a short reminder of the complex case we give a brief introduction to non-archimedean analytic geometry and report on recent progress in the non-archimedean case.