综合报告

综合报告会:Quantitative weak approximation and quantitative strong approximation for certain quadratic forms

发布时间:2026-08-10

院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

综合报告会

Colloquium

Speaker: Damaris SchindlerGeorg-August-Universität Göttingen

Inviter: 黄治中

Language: English

Time&Venue: 2026810星期15:30-17:00 晨兴110

Title: Quantitative weak approximation and quantitative strong approximation for certain quadratic forms

Abstract: In this talk we discuss recent results on optimal quantitative weak approximation for certain projective quadrics over the rational numbers as well as quantitative results on strong approximation for quaternary quadratic forms over the integers. We will also discuss how a Brauer-Manin obstruction can affect the growth of coprime integer points of bounded height on a quaternary quadratic form. This is joint work with Zhizhong Huang and Alec Shute.

报告人介绍:Damaris Schindler是德国格廷根大学的教授。她于2013年在 Tim Browning Trevor Wooley 的联合指导下取得博士学位。她主要的研究兴趣是解析数论以及在丢番图几何里的应用,在圆法、Manin猜想以及有理点逼近流形等领域取得了一系列重要研究成果。她还担任Proceedings of the London Mathematical SocietyProceedings of the American Mathematical SocietyMathematische Nachrichten 等国际著名期刊主编。



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