PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mary Anne Raymond.

Title:Norms on groups of geometric origin
Seminar:Slow Pitch Seminar
Speaker:Dima Burago
Abstract:
Consider a transformation of a space with a geometric structure. A "geometric invariant" of such a transformation is a number which does not depend on choice of coordinates, that is, invariant under the conjugations by automorphisms of the structure. The theory of Dynamical Systems studies lots of such invariants; usually they are "asymptotic invariants" defined via iterations. Thus they are badly behaved under composition of transformations. We will be concerned with invariants that are subadditive under composition. We will see that they are very rare and the algebraic structure of the group of automorphisms could by itself rule out the existence of such invariants. This approach will lead us to a number of algebraic, geometric and topological problems. The talk is based on a joint work with S. Ivanov and L. Polterovich.

Room Reservation Information

Room Number:MB106
Date:09 / 23 / 2008
Time:05:00pm - 06:00pm