John Coates

I will begin by discussing some recent theoretical and numerical joint work with Liang and Sujatha on the Tate-Shafarevich group of elliptic curves over Q with complex multiplication and rank at least 2. In the latter part of the lecture, I will...

I will try to explain the general background to the subject, and discuss the formulation of the main conjectures of non-commutative Iwasawa theory, on which there has been important recent progress.