Summary: The Birch and Swinnerton-Dyer
formula for modular abelian
varieties
Amod Agashe
University of California, Berkeley
May 22, 2000
These transperencies can be obtained from
http://www.math.berkeley.edu/~amod/mymath.html
The Birch and Swinnerton-Dyer
conjectural formula
J0(N) = Jacobian of the modular curve X0(N)
T = Hecke algebra
f = a newform s.t. L(f, 1) = 0
If = AnnTf, an ideal of T
A = Af = J0(N)/IfJ0(N),
the Shimura quotient associated to f
Conjecture 1 (Birch, Swinnerton-Dyer, Tate,
Gross).
L(A, 1)
(A)

Source: Agashe, Amod - Department of Mathematics, Florida State University

Collections: Mathematics