Bonn Topology Group - Abstracts

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Talk

May 24, 2022
Achim Krause (Universität Müster): On the K-theory of Z/pⁿ

Abstract

In recent work with Ben Antieau and Thomas Nikolaus, we develop new methods to compute the K-theory of Z/pⁿ and related rings, based on prismatic cohomology. This approach can be turned into an algorithm, which we implement. The same methods also allow us to prove that K-theory of Z/pⁿ vanishes in large enough even degrees, and to give an explicit formula for the orders in large odd degrees. In this talk, I want to give an overview over the ingredients of these computations.

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