Seminar series
Date
Thu, 06 Mar 2025
16:00
Location
Lecture Room 4, Mathematical Institute
Speaker
Katherine Woo
Organisation
Princeton

We resolve Manin's conjecture for all Châtelet surfaces over Q
(surfaces given by equations of the form x^2 + ay^2 = f(z)) -- in other
words, 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.

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