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.
