Ulrich Derenthal, Université de Munich, Allemagne et IHÉS

Manin's conjecture for a singular cubic surface over imaginary quadratic fields

Any cubic surface (possibly with ADE-singularities) over a number field with at least one rational point contains
infinitely many rational points. Their distribution is predicted by Manin's conjecture. I will present a proof of Manin's
conjecture for a cubic surface with E₆ singularity over arbitrary imaginary quadratic fields (joint work with Christopher
Frei), focusing on some analytic aspects.