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An introduction to condensed mathematics

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If you have a question about this talk, please contact Macarena Arenas.

If one tries to do homological algebra with topological objects (for example, topological abelian groups or topological vector spaces), one runs into problems almost immediately. In this talk, I will discuss what these problems are, how the formalism of condensed mathematics recently developed by Clausen-Scholze addresses them, and give an overview of the main elements of this theory. If time permits, I will honour the name of this seminar and talk about some of the applications to (analytic) geometry.

This talk is part of the Junior Geometry Seminar series.

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