Speaker | Date | Time | Room | Topic | References |
---|---|---|---|---|---|
M. Zuhair | Oct 31 | 11:00AM | MS 5127 | The Eichler-Shimura Construction | [IAT], |
B. Smith | Nov 7 | 11:00AM | MS 5127 | Shimura Curves/Sets and their Heegner Points | [Zhang, Sect. 2] |
T. Padurariu | Nov 14 | 11:00AM | MS 5127 | Level Raising of Modular Forms | [Zhang, Sect. 3], [Ribet], [DT] |
A. Burungale | Nov 21 | 11:00AM | MS 5127 | Cohomological Congruence of Heegner Points | [Zhang, Sect. 4], [BD, Sect. 9] |
G. Gim | Dec 8 | 12:00PM | MS 5117 | Rank-Lowering of Selmer Groups | [Zhang, Sect. 5] [ADT] |
J. Newton | Dec 10 | 10:00AM | MS 5148 | The Rank One Case of Kolyvagin's Conjecture | [Zhang, Sect. 6,7] |
J. Lang | Dec 10 | 12:00PM | MS 5117 | Modeling the Distribution of Ranks, Selmer Groups, and Shafarevich-Tate Groups of Elliptic Curves | [BKLPR] |
S. Kalyanswamy | Dec 12 | 11:00AM | MS 5127 | Skinner's Converse to the Theorem of Gross, Zagier, and Kolyvagin | [Skinner] |
I. Coley | Dec 12 | 12:00PM | MS 5117 | A Majority of Elliptic Curves over Q Satisfy the Birch and Swinnerton-Dyer Conjecture | [BSZ] |
References
[BD] Bertolini, M.; Darmon, H. Iwasawa's main conjecture for elliptic curves over anticyclotomic Z_p-extensions. Ann. of Math. (2) 162 (2005), no.1, 1-64.
[DT] Diamond, F.; Taylor, R. Nonoptimal level of mod l modular representations. Invent. Math. 115 (1994), no.3, 435-462.
[ADT] Milne, J. S. Arithmetic duality theorems. Perspectives in Mathematics, 1. Academin Press, Inc., Boston, MA, 1986.
[Ribet] Ribet, K. A. Congruence relations between modular forms. Proc. International Congress of Mathematicians 1983, 503-514.
[IAT] Shimura, G. Introduction to the arithmetic theory of automorphic forms. Princeton University Press, NJ, and Iwanami Shoten, Tokyo, 1971.
[Zhang] Zhang, W. Selmer groups and the indivisibility of Heegner points.