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WINTER MIDWEST TOPOLOGY SEMINAR

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Calvin College, Grand Rapids, Michigan

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February 26 and 27, 2005

** Speaker:** Satyan Devadoss
** Title:** An introduction to graph-associahedra

** Time:** Saturday, 9:30 - 10:30 a.m.

** Abstract:** The associahedron (or Stasheff polytope) is an object appearing in
numerous areas of mathematics, from homotopy theory (operads),
configuration spaces (particle collisions), statistics (phylogenetic
trees), geometric group theory (Coxeter complexes), and combinatorics.
Given any graph G, we construct a convex polytope based on G with some
elegant properties. When G is a path, we obtain the associahedron; when G
is a cycle, we obtain the cyclohedron. This polytope appears naturally
with respect to simplicial Coxeter groups, and provides the tiling for
generalizations of real moduli spaces of curves.

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