慶應義塾大学 理工学部 数理科学科

臨時整数論セミナー

タイトル Iwasawa theory and the conjecture of Birch and Swinnerton-Dyer II
開催日時 2017年7月8日 15:30-16:30
主催者
講演者 John Coates 氏(University of Cambridge)
場所 慶應義塾大学 矢上キャンパス
14 棟 2 階 201 号室
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).
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