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Mathematical Sciences Building: 318## Contact:

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Friday, February 17, 2017 3 p.m. to 4 p.m.

**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.

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- Mathematics Department Calendar
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