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

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We shall open the seminar room+ZOOM meeting at 13.15 for coffee and close at 15.00

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We shall open the seminar room+ZOOM meeting at 13.15 for coffee and close at 15.00

Join Zoom Meeting

... more