Witt vectors and their applications in arithmetic algebraic geometry

这个项目的目的是继续算术代数几何的发展。这是基础数学的领域，形成了密码学和编码理论的基础，这些理论是应用数学的领域，可以实现安全和有效的电子通信。该方法将适用于最近的进展，在理论的整体维特向量，以解决一些悬而未决的问题，涉及多项式方程的数值性质。预计这将导致一个领域的进步，这是数学的基本重要性一般，这也是安全的互联网通信的基础。

This project aims to continue the development of arithmetic algebraic geometry. This is the field of fundamental mathematics that forms the basis for much of cryptography and coding theory, which are the fields of applied mathematics that allow for secure and efficient electronic communication. The approach will be to apply recent advances in the theory of global Witt vectors to resolve some open questions involving numerical properties of polynomial equations. This is expected to lead to advances in a field which is of fundamental importance in mathematics generally and which is also the basis of secure internet communication.