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Back to Commutative Algebra Seminar: Spring 2016

Commutative Algebra Seminar


Date: Friday, Apr 29, 2016

Time: 3:10PM - 4:00PM

Location: LCB 222


Dylan Zwick

Title

Symmetric bicolored trees and symmetric tropical ranks

Abstract

In this talk I will define and investigate symmetric bicolored trees, the symmetric versions of the bicolored trees studied by Markwig and Yu. In particular, I’ll show that a special subset of these symmetric bicolored trees, those with an “unbranched stem”, form a pure-dimensional simplicial complex, and that this complex is shellable. I’ll then describe a relationship between these symmetric bicolered trees with unbranched stems, or “happy trees”, and the notion of the symmetric tropical rank of a matrix.

Commutative Algebra

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