Evolution of k-surfaces in dynamics
Professor James Muldowney
University of Alberta
ABSTRACT: The evolution of curves in the dynamical system of a differential equation is usually studied using the linearized equation. If the system is n-dimensional, the evolution of n-dimensional volumes is governed by the scalar Liouville equation. We will examine equations that are associated with the evolution of k-dimensional surfaces, 1≤≤, and look at the implications of these for the dynamics. This involves the use of additive and multiplicative kth-compound matrices which have some intrinsic interest for their metric and algebraic properties.
Location:Mathematical Sciences Building: 318