Séminaire Arithmétique et Géométrie Algébrique
K-Theory of Adic Spaces
07
March 2023
March 2023
Intervenant : | Grigory Andreychev |
Institution : | Bonn |
Heure : | 14h00 - 15h00 |
Lieu : | 3L15 |
In this talk, I’ll explain a new approach to K-theory of analytic adic spaces via condensed mathematics. Its main advantage is that it allows us to define K-theory in that context as the (continuous) K-theory of a certain dualizable stable \infty-category associated to an analytic adic space (as opposed to previous constructions that produced the K-theory spectrum somewhat indirectly). In particular, it makes the study of its general properties much more feasible; for instance, it’s possible to prove a very general descent statement without any restrictive hypotheses on the adic space.