20. Mar 2025
Manin’s conjecture for Châtelet surfaces
Algebraic Geometry and Number Theory Seminar
Datum: 20. March 2025 |
13:00 –
15:00
Sprecher:
Katy Woo, Princeton University
Veranstaltungsort: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Sprache:
Englisch
We resolve Manin's conjecture for all Chtelet 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.
