TITLE: Applications of Condensed mathematics?
QUESTION [7 upvotes]: I was reading the lectures notes by Peter Scholze about condensed mathematics and I was curious about the applications of the tools that Scholze and Clausen developed.
There are some motivational remarks in the paper but I was wandering whether there is a new result that was established with the use of condensed staff or an old theorem that has a new or simpler proof using the new mechanics.
Actually I would be happy to see any non trivial application of Condensed mathematics.

REPLY [2 votes]: This question is probably premature. In challenging the formalization community to prove a fundamental theorem in the theory, Scholze admits that there were "no real applications" as of December 2020, which was not so long ago. In a Bonn masterclass, Clausen finishes by lecturing on how to re-prove some basic theorems on Riemann surfaces in the condensed framework, though I have not watched his talks.