Speaker: Zhexiu Tu, Cornell University
Title: Topological Representations of Matroids and the cd-index
Time: 2:30 PM, Monday, November 7, 2016
Place: Malott 206
Abstract: There are different topological representations of non-orientable matroids. In this talk, inspired by Swartz's work, I will show an explicit homotopy sphere arrangement that is a regular CW complex whose intersection lattice is the geometric lattice of the corresponding matroid. We will also look at enumerative properties, including how the flag $f$-vector formula of Billera, Ehrenborg and Readdy for oriented matroids applies to arbitrary matroids.
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