A new +/- Iwasawa theory and converse of Gross-Zagier and Kolyvagin theorem



Date:October 25h, 16:00-17:00
Location:Lecture Hall
Abstract:
We develop a new kind of +/- local Iwasawa theory for characters over quadratic imaginary fields, which is valid in all cases when p is split, inert or ramified. As an application we prove the corresponding converse of the Gross-Zagier and Kolyvagin theorem.