Bonn Topology Group - Abstracts

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May 28th 2019
Christoph Winges (RFWU Bonn): Coarse homology theories and assembly maps


Coarse homology theories provide an analogue of homology theories which is adapted to the purposes of large-scale geometry, and can be used to construct concrete models of assembly maps. I will give an outline how they allow us to structure proofs for the injectivity of certain assembly maps by separating geometric input from conditions we need to impose on the invariant under consideration. As time allows, I will sketch some examples which fit into this framework but have not been known before.
Joint work with Ulrich Bunke, Alexander Engel and Daniel Kasprowski.

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