When:
Friday, October 4, 2024
2:00 PM - 3:00 PM CT
Where: Lunt Hall, 103, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Bao Le Hung
(847) 491-5563
Group: Department of Mathematics: Number Theory Seminar
Category: Lectures & Meetings
Title: Rational points on/near homogeneous hyper-surfaces
Abstract: How many rational points are on/near a compact hyper-surface? This question is related, for instance, to Serre's Dimension Growth Conjecture.
We survey the state of the art, and explain a standard random model. Furthermore, we report on recent joint work with Rajula Srivastava (Uni/MPIM Bonn).
Our arguments are rooted in Fourier analysis and, in particular, clarify the role of curvature in the random model.