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Discrete CATS Seminar

Date:
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Zhexiu Tu, Centre College

Speaker:  Zhexiu Tu, Centre College

Title:  Topological Representations of Matroids and the cd-index

Abstract:

There are several different topological representations of non-orientable matroids. In this talk, inspired by Swartz's work, I will show an explicit fully partitioned homotopy sphere d-arrangement S that is a CW-complex whose intersection lattice is the geometric lattice of the corresponding matroid for matroids of rank < 5. Moreover S has a d-sphere in it that is a regular CW-complex. 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.

For further information, see Discrete CATS Seminar

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