WiSe 26/27 Oberseminar: Efimov K-theory

Time and place: Tuesday 14-16 in M311 and online

(A detailed program will appear soon)

The goal of this seminar is to learn Efimov’s continuous K-theory of dualizable stable categories. We will first study compactly assembled and dualizable categories, and construct the extension of localizing invariants to dualizable categories. We will then go through the computation of the continuous K-theory of continuous posets and of locally compact Hausdorff spaces.

The main reference is:

If you are interested in participating in this seminar, please contact the organizer.

Date Speaker Topic
13.10 Marc Hoyois Introduction and distribution of talks
20.10 Compactly assembled and dualizable categories
27.10 Examples
03.11 Compact morphisms and AB6
10.11 Calkin categories and colimits of dualizable categories
17.11 Limits of dualizable categories
24.11 Semiorthogonal decompositions and infinite products
01.12 Flat presentable categories
08.12 Localizing invariants of dualizable categories
15.12 Sheaves on the real line and applications
22.12 Continuous posets
12.01 Sheaves on locally compact Hausdorff spaces
19.01 K-theory of locally compact Hausdorff spaces
26.01 Urysohn’s lemma
02.02