# Discrete CATS Seminar

Date:

11/26/2018 - 2:00pm

Location:

745 Patterson Office Tower

Speaker(s) / Presenter(s):

Tefjol Pllaha, U Kentucky

Speaker: Tefjol Pllaha, U Kentucky

Title: Laplacian Simplices II: A Coding Theoretic Approach

Abstract:

This talk will be about Laplacian simplices, that is, simplices whose vertices are rows of the Laplacian matrix of a simple connected graph. We will focus on graphs and graph operations that yield reflexive Laplacian simplices. We spot such graphs by showing that the $h^*$-vector of the simplex is symmetric. We use the same approach as Batyrev and Hofscheier by considering the fundamental parallelepiped lattice points as a finite abelian group. This is joint work with Marie Meyer.

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