Schur decompositions and related problems in operator theory

本项目旨在通过新的合作和连接新的数学领域来解决算子理论中有关本征值分解的一些著名问题。特征值分解是数学中的一个中心概念，在科学和工程中有许多应用。然而，自其发展以来的一百年里，人们仍然不知道如何分解分析和几何中出现的某些重要算子。预计该项目将提供实现这一目标的新技术，并有望实现新的理解和新的应用。

This project aims to solve some famous problems concerning eigenvalue decompositions in operator theory through new collaborations and by connecting new areas of mathematics. Eigenvalue decomposition is a central concept in mathematics with many applications in science and engineering. One hundred years since its development, however, it is still not known how to decompose certain important operators that arise in analysis and geometry. The project is expected to provide new technology to achieve this, promising new understanding and new applications.