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WS 2022/2023

28.10.2022 um 14:15 Uhr in 69/125

George Raptis (Universität Regensburg)

Devissage theorems in algebraic K-theory

A devissage type theorem in algebraic K-theory identifies the K-theory of a Waldhausen category in terms of the K-theories of a collection of Waldhausen subcategories, when a devissage condition about the existence of appropriate finite filtrations is satisfied. Quillen's and Waldhausen's classical theorems of this type express fundamental properties of algebraic K-theory and have many applications. In this talk, I will discuss general aspects of devissage in algebraic K-theory and give an overview of old and new theorems of this type.