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.