Seminar

A universal equivariant coarse K-homology

Algebro-Geometric and Homotopical Methods

07 March 15:00 - 16:00

Ulrich Bunke - Universität Regensburg

In analogy to A^1-homotopy theory I will introduce a universal equivariant coarse homology theory. As an example, I describe the construction of a universal equivariant coarse homology theory with values in the stable infinity category which was introduced by Blumberg-Gepner-Tabuada in order to capture the universal properties of the algebraic K-theory functor. From this universal theory one can derive the usual equivariant coarse K-homology, but also also other coarse homology theories like versions of THH and natural transformations between them. Finally I will explain the relation of the coarse constructions with equivariant homology theories in the sense of Davis-Lück, and how assembly are arrise from coarse constructions.
Organizers
Eric M. Friedlander
The University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo

Program
Contact

Paul Arne Østvaer

paularne@math.uio.no

Other
information

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