Some formal gluing diagrams for continuous K-theory

par Hyungseop Kim

jeudi 13 nov. 2025, 14:00 → 16:00 Europe/Paris

M7-411

The study of descent properties of K-theory plays an important role in understanding its values and behaviour in many geometric contexts. In this talk, I will explain a construction of certain diagrams arising from formal gluing situations for which continuous K-theory, and more generally all localising invariants, satisfy descent, from the perspective of dualisable categories. I will also discuss how this encompasses both Clausen–Scholze’s gluing result for analytic adic spaces and a continuous adelic descent for K-theory.