Homogeneous Dynamics and Number Theory(I,II)

Textbook: M. Einsiedler and T. Ward, Ergodic Theory with a view towards Number Theory, Springer, GTM 259, 2010.

Time: 5-6, Tuesday

Venue: Old Math Building 205

Instructor: Guanghua Ji

Topics:

1, Ergodicity, Recurrence and Mixing

2, Invariant Measure for Continuous Maps

3, Actions of Locally Compact Groups

4, Geodesic Flow on Quotients of the Hyperbolic Plane

5, More Dynamics on the Hyperbolic Plane

References:

1, B. Bekka and M. Mayer, Ergodic theory and topological dynamics of group actions on homogeneous spaces. Cambridge University Press, Cambridge, 2000.

2, Ya. G. Sinai (editor), Dynamical Systems, Ergodic Theory and Applications (Encyclopaedia of Mathematical Sciences), Springer, 2000.

3, P. Walters, An introduction to Ergodic Theory, Springer-Verlag, GTM 79.

4, D. Witte Morris, Ratner's theorems on unipotent flows. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 2005.