22.01.2020 um 17:15 Uhr in 69/125
Dr. Georg Tamme (Universität Regensburg)
Descent in Algebraic K-Theory
Algebraic K-groups of rings are interesting invariants, which appear in different areas of mathematics, e.g. in number theory, algebraic geometry, or topology. Unfortunately, computations of algebraic K-groups are usually quite hard. One approach to compute the K-groups of a given ring is to build the ring up from simpler pieces, whose K-groups might be easier to compute. One then has to solve the problem of reassembling the information from the single pieces to say something about the K-groups of the ring one started with. This is a descent problem. I will give an introduction to the problem and explain some recent results and applications.