Colloquium: Rui Loja Fernandes (UIUC)

3:00–4:00 pm Eckhart 206

Title: Stability of Orbits and Leaves under Perturbations

Abstract:

A classical problem, dating back to Poincaré, is to determine whether a periodic orbit of a vector field persists under perturbations of the field. An orbit with this property is said to be stable under perturbations. Analogous questions arise for orbits of group actions and leaves of foliations. In this lecture, I will survey classical results addressing these questions and present a “universal stability theorem” from which many of them follow.

Event Type

Colloquia

Oct 28