An even parity instance of the Goldfeld conjecture

Abstract: In 1979 D. Goldfeld conjectured: 50% of the quadratic twists of an elliptic curve over the rational numbers have analytic rank zero. We present the first instance - the congruent number elliptic curves (joint with Y. Tian).

algebraic geometryalgebraic topologygroup theorynumber theoryrepresentation theory

Audience: researchers in the discipline

Queen Mary University of London Algebra and Number Theory Seminar