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Groups, Graphs, and Geometry: What Negative Curvature Can Do for You

by

Susan Beckhardt
Union College Alumni & Graduate Student at SUNY Albany

February 10, 2014
5:00 pm
Bailey Hall 207

Refreshments will be served in Bailey Hall 204 4:45pm


Abstract:

Recall that a group is a set of elements together with a binary operation satisfying the axioms of associativity, identity, and inverses. These algebraic objects show up in nearly every mathematical discipline, from combinatorics to number theory to topology, and many fascinating and beautiful problems problems arise from their study. In this talk, we'll examine a special way to understand groups by viewing them as metric spaces. In the special case of hyperbolic groups, a number of generally-difficult questions become easy! This talk will require no prior knowledge of group theory, and we'll play with plenty of examples along the way.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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