时间：2025.07.09 14：00-15：00

地点：数统楼201报告厅

题目: Springer-type theorems for quadratic lattices over Dedekind domains

摘要: A classical Springer's theorem states that a quadratic form over a field will already be isotropic if it becomes isotropic over a base change of odd degree. In this talk, I will report on Springer-type results for representation and isometry of quadratic lattices over Dedekind domains. As a key ingredient in the proof, certain norm principles will be mentioned. This is based on my PhD thesis and in part on joint work with Yong Hu and Fei Xu.

个人简介：刘靖，本科毕业于浙江大学，硕士毕业于首都师范大学，导师是徐飞教授。博士毕业于南方科技大学，导师是胡勇副教授。即将入职大湾区大学博士后。研究方向是数论，特别是整二次型的算术。目前有一篇论文发表于 Acta Arithmetica。