In the upcoming winter semester I teach an introductory course on higher algebraic K-theory. The course will be in a hybrid format: the lectures take place in person in Mainz, but one can also participate online via Microsoft Teams (see below).
* Time: Mondays, 10-12
* Target group: Master’s or PhD students
* Prerequisites: good knowledge of commutative algebra, some homological algebra, and basic topology
* Content: The goal is to prove the basic theorems for Quillen’s higher K-groups of exact or abelian categories (resolution, dévissage, localization) with applications to the K-theory of rings and schemes. The course will start by introducing the necessary homotopical background (simplicial sets, classifying spaces of categories).
* Online participation: If you are interested in following the course online, please send me a short email. I will then add you to the MS Teams team as a guest.