Graduate Geometry Topology Seminar 4:00 pm in 241 Altgeld Hall, Friday, March 10, 2017

Submitted by penciak2. 
Stefan Klajbor Goderich (UIUC Math) Stability of relative equilibria and isomorphic vector fields Abstract: We present applications of the notion of isomorphic vector fields to the study of nonlinear stability of relative equilibria. Isomorphic vector fields were introduced by Hepworth in his study of vector fields on differentiable stacks. Here we argue in favor of the usefulness of replacing an invariant vector field on a manifold by an isomorphic one to study nonlinear stability of relative equilibria. In particular, we use this idea to obtain a criterion for nonlinear stability. As an application, we sketch how to use this to obtain Montaldi and Rodrı́guezOlmos’s criterion for stability of Hamiltonian relative equilibria. 
