Ratner's theorems on unipotent flows on homogeneous spaces

Tel Aviv University, Spring 2014


Grading For those taking the course for a grade, and for those looking for some action, check out the exercise sheet. Date for submitting the exercise sheet is Sept. 15, 2014.




Notes In the lecture of 17.3.14 I missed some details in the derivation of the Tempelman theorem from the Lemma which was proved in class. Here are notes with the missing details: page 1, page 2.


References
  • M. Ratner, Strict measure rigidity for unipotent subgroups of solvable groups. Invent. Math. 101 (1990), no. 2, 449.

  • M. Ratner, On measure rigidity of unipotent subgroups of semisimple groups. Acta Math. 165 (1990).

  • M. Ratner, On Raghunathan's measure conjecture. Ann. of Math. (2) 134 (1991), no. 3, 545-607.

  • M. Ratner, Raghunathan's conjectures for SL(2,R). Israel J. Math. 80 (1992).

  • D. Morris, Ratner's theorems on unipotent flows, University of Chicago Press (2005).