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Arthur Bartels: K-Theory of Group Rings

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

K Theory Courses Homotopy Theory Courses

Course Description

Overview

Explore the fourth lecture in a series on K-theory of group rings, delivered by Arthur Bartels as part of the Hausdorff Trimester Program: K-Theory and Related Fields. Delve into the Farrell-Jones Conjecture, which proposes that the K-theory of group rings RG can be calculated using the K-theory of group rings RV, where V represents various virtually cyclic subgroups of G. Examine the conjecture's formulation and proof methods, with a particular focus on controlled algebra. Understand how controlled algebra serves as a crucial link between the algebraic and homotopy theoretic formulation of the conjecture and the often geometric proofs of its instances. Gain insights into this complex mathematical topic through this 58-minute lecture from the Hausdorff Center for Mathematics.

Syllabus

Arthur Bartels: K-theory of group rings (Lecture 4)


Taught by

Hausdorff Center for Mathematics

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