5 papers
Condensed Mathematics and Complex Geometry
Dustin Clausen, Peter Scholze
This is a slightly revised version of lectures notes for a course in Summer 2022 joint between Bonn and Copenhagen, intended as a stable citable version. The goal of this course is…
Lectures on Analytic Geometry
Peter Scholze
This is a slightly updated version of lectures notes for a course on analytic geometry taught in the winter term 2019/20 at the University of Bonn. The material presented is part o…
Six-Functor Formalisms
Peter Scholze
These are lecture notes for a course in Winter 2022/23, updated and completed in October 2025. The goal of the lectures is to present some recent developments around six-functor fo…
A note on higher almost ring theory
Fabian Hebestreit, Peter Scholze
We explain a derived version of the basic construction of localisations of module categories by means of idempotent ideals, which lie at the heart of Faltings' almost ring theory.…
The Habiro ring of a number field
Stavros Garoufalidis, Peter Scholze, Campbell Wheeler +1
We introduce the Habiro ring of a number field and modules over it graded by . Elements of these modules are collections of power series at each compl…