Condensed mathematics and set theory --Chris Lambie-Hanson (CAS, Prague), PHK 16.11.2022

Title: Condensed mathematics and set theory
Speaker: Chris Lambie-Hanson (Institute of Mathematics of the Czech Academy of Sciences)

Abstract:
Recently, Clausen and Scholze initiated the study of condensed mathematics, providing a framework in which to do algebra in situations in which the algebraic structures under consideration also carry topological information. The fundamental idea is to replace the categories of topological spaces or topological abelian groups, which are poorly behaved algebraically, with the more algebraically robust categories of condensed sets or condensed abelian groups. In this talk, we will give a very brief introduction to condensed mathematics and sketch a couple of very basic applications of set theoretic techniques to foundational questions therein. Time permitting, we will also briefly touch on related applications of these set theoretic ideas to other topics in homological algebra.


Talk given at the Prague-Hradec Králové seminar on Cohomology in algebra, geometry, physics and statistics:

https://calendar.math.cas.cz/content/...