# Christoph Winges: Coarse homology theories and assembly maps

**Time: **
Tue 2019-02-19 13.15 - 15.00

**Lecturer: **
Christoph Winges (Bonn)

**Location: ** Room 34, House 5, Kräftriket, Department of Mathematics, Stockholm University

ABSTRACT: Coarse homology theories provide an analog of homology theories which is adapted to the purposes of large-scale geometry. I will survey how they can be utilised to provide concrete models of assembly maps, and explain an axiomatic framework which facilitates proofs of split-injectivity results for various assembly maps. This recovers known results eg for the algebraic K-theory of discrete group rings, but also accommodates invariants such as A-theory. Joint work with Ulrich Bunke, Alexander Engel and Daniel Kasprowski.