Mathematics Colloquia and Seminars
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On the coarse fundamental groupAlgebra & 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.