Class meets at: Goldsmith 101,
MWTh 12:10 -- 1 PM
Lecturer: Dmitry Kleinbock
Office: Goldsmith 207, phone 6-3059
Office Hours: Tue 11-12 and 3-4, or by appt.
E-mail address: kleinboc@brandeis.edu
Text:
Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces, by
Bekka and Mayer, Cambridge Univ. Press 2000.
The idea of the course is to give a self-contained exposition of some recent progressin applying dynamics on homogeneous spaces to number theory. This is a relatively modern circle of ideas which does not require a lot of background and leads to many open questions. More details (PDF).
Homework assignments: 1) Ergodic Theory, 2) Groups, Measures and Lattices, 3) Diophantine Approximation in PDF format.