U. Haifa Topology & Geometry seminar: Sunday, Dec. 26, 2021. Speaker: Daniel Kaner (U. Haifa). “Title: Condensed mathematics”
Time: Sunday Dec 26, 2021, 17:00 (Israel Time)
Location: On Zoom
Speaker: Daniel Kaner (U. Haifa)
Title: Condensed mathematics.
Meeting ID: 849 8759 1026
A condensed set is a sheaf of sets on the category of profinite spaces (with an appropriate notion of covers) which is a colimit of representables. These are the basic objects of condensed mathematics, a new point of view due to Dustin Clausen and Peter Scholze, intended to a convenient setting for working with algebraic objects equipped with a natural topology (e.g., Banach algebras). In particular, this allows for a unification of analytic with algebraic geometry.