3 papers
math.NT2026
Lectures on Condensed Mathematics
Peter Scholze
This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint wor…
math.AG2026
Etale cohomology of diamonds
Peter Scholze
Motivated by problems on the étale cohomology of Rapoport--Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands correspond…
math.RT2024
Geometrization of the local Langlands correspondence
Laurent Fargues, Peter Scholze
Following the idea of [Far16], we develop the foundations of the geometric Langlands program on the Fargues--Fontaine curve. In particular, we define a category of -adic shea…