Princeton University
When
2 – 3 p.m., April 8, 2025
Where
Title: Manin's conjecture for Châtelet surfaces
Abstract: We resolve Manin's conjecture for all Châtelet surfaces over Q (surfaces given by equations of the form x^2 + ay^2 = f(z)) -- we establish asymptotics for the number of rational points of increasing height. The key analytic ingredient is estimating sums of Fourier coefficients of modular forms along polynomial values.