Moving Frames in Applications

Abstract:

In this talk, I will describe a new approach to the theory of moving frames. The method is completely algorithmic, and applies to very general Lie group actions and even infinite-dimensional pseudo-groups. It has led to a wide variety of new applications, ranging over differential equations, the calculus of variations, geometric flows, image processing, numerical methods, differential geometry, invariant theory, and elsewhere.

The talk will survey the key ideas, and present some of the principal applications.