Topological representations of matroids

Edward Swartz

Cornell University

November 1,
refreshments at 3:45pm


Introduced by Whitney in 1935, matroids are a combinatorial abstraction of linear dependence. Most matroid theory is motivated by graph theory or projective geometry. Beginning in the 70's matroids began to appear in topology. I will examine several topological representations and applications of matroids. These will include hyperplane and pseudosphere arrangements, linear quotients of spheres by elementary abelian p-groups, and arrangements of homotopy spheres. I will not assume any special knowledge in topology.

Speaker's Contact Info: ebs(at-sign)

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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