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On the coarse fundamental group

Algebra & Discrete Mathematics

Speaker: Valerio Capraro, University of Southampton, MSRI
Location: 2112 MSB
Start time: Fri, Jan 18 2013, 1:10PM

Coarse geometry is the study of a metric space ''at infinity". While coarse homology and cohomology theories have been studied by John Roe and Nigel Higson in the 90s, it is not yet clear how a coarse homotopy theory should look like. In this talk I plan to present some ideas to do a first step towards the definition of a coarse homotopy theory, that is, the definition of a coarse fundamental group. The main idea is to coarsen the A-homotopy theory, a discrete homotopy theory for finite graphs developed in the last decade by Eric Babson, Helene Barcelo, and others.