代数表示论与非交换代数是极其重要的数学分支，它们与代数几何、量子计算、数学物理等学科均有深刻的内在联系。本项目拟通过邀请国内相关领域的专家讲授基础专业课和前沿专题课，并且邀请国内外专家就国际前沿问题作相关学术报告。. 本讲习班将采取授课、学术报告、相互研讨、共同撰写论文的方式，为青年学者提供一个相互学习交流的机会，增进不同领域青年学者之间的联系与交流合作，促进不同学科之间的交叉融合。. 期待通过天元基金的资助能够帮助青年学者掌握代数表示论与非交换代数的基本概念、基本理论、方法及其应用，跟踪相关研究领域的发展动态、最新成果，尽快地进入学科前沿，达到培养青年人才，促进学术交流，提升数学创新能力的目的。

Representation theory of algebras and noncommutative algebras are very important branches of mathematics. They have profound connections with algebraic geometry, quantum computing, mathematical physics and other disciplines. In this project, we plan to invite domestic experts in related fields to teach basic and specialized courses and frontier topics, and invite domestic and international experts to give relevant academic reports on international frontier problems.. This workshop will adopt the way of teaching lectures, academic reports, mutual discussion and cooperation in writing papers, so as to provide an opportunity for young scholars to learn and exchange from each other, enhance the contact and cooperation between young scholars in different fields, and promote the interdisciplinary and integration of different subjects.. It is expected that the Tianyuan Fundation will help young scholars to grasp the basic concepts, basic theories, methods and applications of representation theory of algebras and noncommutative algebras, follow up the development trends and latest achievements in related research fields, and enter the frontier of the subject as soon as possible. The ultimate goal of this workship is to train young talents, promote their academic exchanges, and enhance their mathematical innovation ability.