In this joint work with Beren Sanders, we analyze the question of (topologically) gluing an open piece and a closed piece of the spectrum of a tt-category, that is, of deciding which points in the open specialize to which points of the closed piece. We show that a critical role is played by the support of the Tate ring associated with this decomposition. I will take this opportunity to remind the audience of the very general notion of support for big objects in tt-categories that follows from the theory of homological residue fields.
This video is part of the conference Representation Theory and Geometry that took place at the University of Georgia.
