Our goal is to understand the arguments in the paper, (ideally) starting from zero knowledge on either number theory or ergodic theory.
Organizers/speakers: Chan-Ho Kim, Seungki Kim, Sanghoon Kwon.
Schedule and notes (the notes can be quite sketchy; use at your own risk)
6/30 4pm, Rm 1423: (Seungki) Motivation, and a very brief sketch of proof. Notes
7/14 4pm, Rm 1424: (Seungki) Precise statement of the main result Notes
8/11 4pm, Rm 1424: (Chan-Ho) Gross points
8/18 5pm, Rm 1423 (*note time and venue): (Chan-Ho) Gross points cont'd Notes
9/8 2pm, Rm 1424: (Seungki) Review of Gross points Notes
9/20 4pm, Rm 1424: (Seungki) Proof of Theorem 1.5 Notes
10/12 2pm, Rm 1424: (Sanghoon) Ratner's theorems Notes
11/17 4pm, Rm 1423: (Seungki) Proof of the main theorem, assuming Proposition 5.2
12/1 4pm, Rm 1423: (Seungki) Proof of the main theorem cont'd Notes
12/11 4:30pm, Rm 1424: (Sanghoon) Proof of Proposition 5.2
12/22 4pm, Rm 1424: (Sanghoon) Proof of Proposition 5.2 cont'd Notes
References
M. Bertolini and H. Darmon, Heegner points on Mumford-Tate curves, Invent. Math. (1996)
B. Gross, Heights and the special values of L-series, Number Theory (H. Kisilevsky and J. Labute, eds.), CMS Conference Proceedings, AMS (1987)
V. Vatsal, Uniform distribution of Heegner points, Invent. Math. (2002)
M. -F. Vigneras, Arithmétique des algèbres de quaternions, Lecture Notes in Mathematics (1980)