Joint PU/IAS Number Theory

Manin's Conjecture for Châtelet Surfaces

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.

Date & Time

February 06, 2025 | 3:30pm – 4:30pm

Location

214 Fine Hall

Speakers

Katy Woo, Princeton University

Event Series

Categories

Notes

Meeting ID:  920 2195 5230

Passcode:    The three-digit integer that is the cube of the sum of its digits.