Equivariant Alexandrov geometry via Palais's classification of group actions.
Time and Place
Friday, January 19, 2018
Tea will be served at 3:30 PM in PHSC 424.
Alexandrov geometry is a generalization of Riemannian geometry, but the subject is defined in very basic terms, accessible to any graduate student. This talk will provide an accessible introduction to Alexandrov geometry. Isometric group actions on Alexandrov spaces will be considered, and some fundamental results about group actions will be discussed. These results rely on a much neglected topological result of Palais from 1960, and this connection will be explained. Some results on the interaction between symmetry and positive curvature in Alexandrov geometry will be given, and we will see how these illuminate the corresponding results from Riemannian geometry.
Please note unusual day and time for the colloquium.
For more information on this event, please contact