[2605.03658] Lectures on Condensed Mathematics

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Mathematics > Number Theory

arXiv:2605.03658 (math)

[Submitted on 5 May 2026]

Title:Lectures on Condensed Mathematics

Authors:Peter Scholze<br>View a PDF of the paper titled Lectures on Condensed Mathematics, by Peter Scholze

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Abstract: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 work with Dustin Clausen.

This is intended as a stable citable version of the original lectures, with mostly cosmetic changes to the original document, together with some small corrections.

Comments:<br>78 pages

Subjects:

Number Theory (math.NT); Algebraic Geometry (math.AG); Category Theory (math.CT); Functional Analysis (math.FA); General Topology (math.GN)

MSC classes:<br>54-XX, 18F10, 18F70, 46M18, 18F60, 46M05

Report number:<br>MPIM-Bonn-2026

Cite as:<br>arXiv:2605.03658 [math.NT]

(or<br>arXiv:2605.03658v1 [math.NT] for this version)

https://doi.org/10.48550/arXiv.2605.03658

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arXiv-issued DOI via DataCite

Submission history<br>From: Peter Scholze [view email]<br>[v1]<br>Tue, 5 May 2026 11:41:12 UTC (58 KB)

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