Quantitative weak approximation of rational points on quadrics

Title: Quantitative weak approximation of rational points on quadrics

Speaker: Zhizhong Huang (AMSS)

Time: 16:00-17:00 Beijing time, Nov 15, 2022

Venue: W11, Ningzhai, Tsinghua University

Zoom ID: 293 812 9202  Passcode: BIMSA

 

Abstract:

The classical Hasse—Minkowski theorem states that rational points on quadrics (if non-empty) satisfy weak approximation. We explain how Heath-Brown’s delta circle method allows to obtain a quantitive and effective version of this theorem, namely counting rational points of bounded height on quadrics satisfying prescribed local conditions with optimal error terms. We then discuss applications in intrinsic Diophantine approximation on quadrics. This is based on joint work in progress with M. Kaesberg, D. Schindler, A. Shut.

 

BIMSA-YMSC Tsinghua Number Theory Seminar