A new combinatorial homotopy theory for geometric lattices
Helene Barcelo
University of Arizona
October 6,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

In the early 1970's the British physicist Ron Atkin proposed the use
of simplicial complexes to analyze connectivity in social systems, like
cities, committee structures, etc. Since then, Atkin's ideas have been
developed further, resulting in a new combinatorial homotopy theory of
simplicial complexes. In this setting, a graded group is associated to
a simplicial complex, similar to the fundamental group of a topological
space. However, the resulting theory is very different from classical
combinatorial homotopy theory. In this talk, we introduce this theory
and show that it provides a novel approach to the combinatorics of
geometric lattices.

Speaker's Contact Info: helene(atsign)math.la.asu.edu
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