Witt vectors and their applications in arithmetic algebraic geometry

本项目旨在继续发展算术代数几何。这是基础数学领域，构成了许多密码学和编码理论的基础，这些领域是允许安全和有效的电子通信的应用数学领域。该方法将应用整体Witt向量理论的最新进展来解决涉及多项式方程的数值性质的一些未决问题。预计这将导致在一个在数学中具有基本重要性的领域取得进展，该领域也是安全互联网通信的基础。

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.