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Lectures on Condensed Mathematics

Number Theory 2026-05-06 v1 Algebraic Geometry Category Theory Functional Analysis General Topology

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.

Keywords

Cite

@article{arxiv.2605.03658,
  title  = {Lectures on Condensed Mathematics},
  author = {Peter Scholze},
  journal= {arXiv preprint arXiv:2605.03658},
  year   = {2026}
}

Comments

78 pages

R2 v1 2026-07-01T12:50:41.579Z