Algebraic cycles and Euler systems for real quadratic fields

Algebraic cycles and Euler systems for real quadratic fields

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Henri Darmon, McGill University
Fine Hall 214

I will discuss some possible applications of algebraic cycles and p-adic families of modular forms to the arithmetic of elliptic curves over abelian extensions of real quadratic fields. This is a report on work in progress with Victor Rotger and Ignacio Sols, and on earlier work with Massimo Bertolini and Kartik Prasanna.