Combinatorial Matrix Theory: Origins and Applications
In her lecture, DeAlba will explore the timeline of how the concepts of determinant and matrix evolved from the 16th century to today. She will give brief accounts of the background and work of the most prominent mathematicians, whose work on these two concepts eventually let to Matrix Theory. Early mathematicians studied and solved physical problems, such as the motion of a wave, or the elasticity of a spring. Although much of their work contained matrix theory ideas, they did not recognize this fact, and it was not until the 19th century that the study of matrices became an essential part of mathematics. DeAlba will present applications of graph theory and recent developments that show the natural connection between Combinatorics and Matrix Theory.