Graduate Student Seminars

Fall 2019

Title:  A hierarchy of matroid invariants and a new matroid construction
Speaker:  Kevin Long, GWU
Date and Time:  Friday, November 22, 2:00PM-3:00PM
Place: Rome 206

Abstract: Matroids are a combinatorial object generalizing the concept of independence. Examples of matroids are seen in graph theory and linear algebra, where independence describes being acyclic or linearly independent respectively. I will provide an introduction to matroid theory and talk about some matroid invariants, including the Tutte polynomial, a well known invariant that specializes to the chromatic polynomial of a graph. I will also introduce some new results describing a new matroid construction, which behaves nicely with respect to these invariants.


Title: Methods of interpolation between two dual quaternions
Speaker:  Dionne Ibarra
Date and Time:  Friday, September 20, 3:00PM-4:00PM
Place: Rome 771

Abstract:  I will give a brief introduction to quaternions, dual numbers, and dual quaternions, then discuss methods of interpolation. Finally, I will explain how I obtained a succinct exponential notation for dual quaternions.