
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 HallSpeakers
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.