|タイトル||Iwasawa theory and the conjecture of Birch and Swinnerton-Dyer I|
|講演者||John Coates 氏(University of Cambridge)|
|内容||My first lecture will be aimed at a very broad audience.
I will say something about what is known, but raise a number of general questions left open by work done so far.
In general, we ought be able to use Iwasawa theory to prove the full Birch-Swinnerton-Dyer conjecture for all elliptic curves defined over Q with analytic rank at most 1, but I want to stress the major difficulties that remain in achieving this.
In the second lecture, I will probably discuss in detail the Iwasawa theory of the quadratic twists of X_0(49).