OSU Mathematics Seminars and Colloquia
Thu, Mar 30, 2023
Combinatorial and Commutative Algebra Seminar
3:00 PM
MSCS 509
Extending Shelling.
Suho Oh, Texas State University
Host: Richmond
[Abstract] [PDF]
Abstract: The independent complex of a matroid is a shellable simplicial complex: their facets can be ordered nicely, which translates to interesting properties in algebra and combinatorics. Simon in 1994 conjectured that any shellable complex can be extended to the $k$-skeleton of a simplex while maintaining the shelling property. We go over various tools and results related to this problem. In particular, we will be going over a recent joint work with M. Coleman, A. Dochtermann and N. Geist on proving this conjecture for a smaller class, which contains the entire class of matroids.
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