Biweekly learning seminar on Vatsal's "Uniform distribution of Heegner points"
Biweekly learning seminar on Vatsal's "Uniform distribution of Heegner points"
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)