05-31【胡 勇】五教5407 吴文俊重点实验室代数学系列报告之251

发布者:唐慧发布时间:2024-05-23浏览次数:10

题目: Strong Approximation and Integral Quadratic Forms over Affine Curves 


报告人:胡 勇,南方科技大学


时间:5月31号 星期五 10:00-11:00 


地点:五教 5407


摘要: In the classical arithmetic theory of quadratic forms over global fields, strong approximation and the Hasse principle play a very important role. In this talk, we discuss extensions of some results in this direction to function fields of curves defined over more general fields. In particular, we give examples where strong approximation and the Hasse principle for integral quadratic forms hold, and examples where they do not hold. This is based on a joint work in progress with Jing Liu 刘靖 and Yisheng Tian 田乙胜.