Dynamics and Equidistribution on Homogeneous Spaces

For questions and remarks concerning this website and/or the lecture notes please contact hartnick@math.ethz.ch.

NOTE: In the weak of the 19.05. there is no seminar, but there is a complementary mini-course on the circle method (Tuesday&Thursday, see the FIM webpage).

The list is preliminary and subject to change. Voluntary speakers should contact the organizers.

Seminar material

NEW!!! A preliminary version of the lecture notes (still containing many errors and omissions) is now available here. (Last update: 12.05.; this contains all lectures up to and including the one from 05.05.) An older, more stable version of the notes is still available here. (Version from 14.04.).

The first part of the seminar is based on the paper

• A. Eskin, C. McMullen: Mixing, counting and equidistribution in Lie groups, Duke Math. J., 1993, available here.

Later parts will be based on

• M. Einsiedler, A simple proof of a special case of Ratner's measure classification theorem, available here.
  

Further relevant literature:

• M. S. Raghunathan, Discrete Subgroups of Lie Groups, Springer (for background on lattices)
  
• M. Einsiedler, T. Ward, Ergodic Theory with a view towards Number Theory, available from here (for background in ergodic theory)
• M. B. Bekka, M. Mayer, Ergodic theory and topological dynamics of group actions on homogeneous spaces (for a discussion of the Howe-Moore theorem)

If you know of further useful material, please contact hartnick@math.ethz.ch