Presented By: Geometry Seminar - Department of Mathematics
Geometry Seminar: Control theory, subRiemannian geometry, and variational principles
Richard Montgomery from the University of California, Santa Cruz
Abstract: I will describe some partial solutions to open problems in subRiemannian geometry and in the 3-body problem. Variational methods are central to both. I will relate the problems to the ``control theoretic'' perspective. I will point out the (large) remaining parts of these problems which remain to be solved.