Brief notes in Silverberg: Open questions. In Elliptic curves folder
Stein: A computatinal approach. In Elliptic curves folder
IAS/PArk City proceedings from 2009
http://mathoverflow.net/questions/11502/the-current-status-of-the-birch-swinnerton-dyer-conjecture
arXiv:0909.4803 On Neron class groups of abelian varieties from arXiv Front: math.NT by Cristian D. Gonzalez-Aviles Let F be a global field and let S denote a nonempty finite set of primes of F containing the set S’ of archimedean primes of F. In this paper we study the Neron S-class group C_{A,F,S} of an abelian variety A defined over F. In the well-known analogy that exists between the Birch and Swinnerton-Dyer conjecture for A over F and Dirichlet’s analytic class number formula for the field F (in the number field case), the finite group C_{A,F,S’} (not the Tate-Shafarevich group of A) is a natural analog of the ideal class group of F.
Summer school in Sardinia: See my own hand-written notes, or the typed-up notes when they appear, and Chris’ own notes on his material.
Birch-Swinnerton-Dyer and parity (Vladimir Dokchitser). Topics: Review of the Birch-Swinnerton-Dyer conjecture and the parity conjecture, their consequences, isogeny invariance, finiteness of the Tate-Shafarevich group implies parity
L-functions and root numbers (Tim Dokchitser). Topics: Action of Galois on points of finite order and the Tate module, L-functions of elliptic curves, Artin formalism, root numbers and the functional equation.
Modular symbols and BSD over abelian fields (Christian Wuthrich). Topics: Modular symbols, Stickelberger elements, the Equivariant Tamagawa Number Conjecture for cyclic extensions, consequences for the Tate-Shafaravich.
nLab page on Birch-Swinnerton-Dyer conjecture