condensed mathematics

**Condensed mathematics** aims to provide a more convenient framework in which to treat algebraic objects equipped with a topology, such as topological abelian groups and topological vector spaces. Related aims are to turn functional analysis into a branch of commutative algebra, and various types of analytic geometry into algebraic geometry.

- solid module
- liquid module
- analytic geometry
- analytic ring

- Peter Scholze,
*Lectures on condensed mathematics*, pdf - Peter Scholze,
*Lectures on analytic geometry*, pdf - Dustin Clausen, Peter Scholze,
*Masterclass in condensed mathematics,*YouTube playlist, website (including pdf notes)

Last revised on December 6, 2020 at 19:42:50. See the history of this page for a list of all contributions to it.