10:00 AM-12:00 PM
Room: Ballroom II
Many ideas in dynamics are based on topology. This minisymposium will display a wide variety of interactions where the topology tells the scientist what behavior to expect. For example the topology of Fermi surfaces determines the conductivity properties of "normal" metals in strong magnetic fields (Novikov). Similarly basic topological considerations determine the recurrence patterns in (non-convex) open billiards (Kennedy). The topological theory of Cartheodory, Cartwright, and Littlewood allows Alligood to describe sudden changes in the recurrent sets of the forced damped pendulum. For Barge the continuity of topology determines the discrete arrangements of tilings and quasicrystals.
Organizers: James A. Yorke and Cancelled
University of Maryland, College Park