A new combinatorial homotopy theory for geometric lattices

Helene Barcelo

University of Arizona

October 6,
refreshments at 3:45pm


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(at-sign)math.la.asu.edu

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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