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Applied Topology Seminar

Monday, November 9, 2015 - 2:00pm

John Meier

Lafayette College

Location

University of Pennsylvania

DRL 4E19

Non-positively curved cube complexes arise in an impressive number of applied and theoretical settings, including configurations on graphs and right-angled Artin groups. The topology at infinity for an unbounded, locally finite complex is the topology that persists in the complement of any finite sub-complex. For example, a graph is one-ended if there is a single connected, unbounded component in the complement of any finite sub-graph. I will survey joint work with Jon McCammond and Noel Brady on local-to-asymptotic results for non-positively curved cube complexes, and explain in some detail joint work with Liang Zhang in the case of configurations on a complete graph.