Thursday, April 04, 2024, 03:30pm - 04:30pm
One classical incarnation of Stone duality is an anti-equivalence between the categories of profinite sets and Boolean algebras respectively. In this talk, we will discuss how this can be extended to a fully faithful embedding of condensed sets into fpqc sheaves over any base field. The resulting algebro-geometric spaces are not as pathological as one might expect, and many properties of a condensed set reflect in terms of algebro-geometric properties on the other side.
Location: PMA 9.166