报告题目：On p-adic Minkowski's Theorems

报告人：邓映蒲  研究员（中国科学院数学与系统科学研究院）

报告摘要：Dual lattice is an important concept of Euclidean lattices. We first give the right definition of the concept of the dual lattice of a p-adic lattice from the duality theory of locally compact abelian groups. The concrete constructions of ``basic characters'' of local fields given in Weil's famous book ``Basic Number Theory'' help us to do so. We then prove some important properties of the dual lattice of a p-adic lattice, which can be viewed as p-adic analogues of the famous Minkowski's first, second theorems for Euclidean lattices. We do this simultaneously for local fields Q_p (the field of p-adic numbers) and F_p((T)) (the field of formal power-series of one indeterminate with coefficients in the finite field with p elements).

  报告人简介：邓映蒲，中国科学院数学与系统科学研究院研究员。研究方向是密码学与计算数论。在密码函数，格密码，椭圆曲线与超椭圆曲线密码，素数判定等方面有一些工作。主持国家基金委项目多项。

报告时间：2024年4月23日  下午 14:30-15:30

报告地点：教二楼 612

联系人：张俊