数学. 数学文章 [articles]

以下是蒋济仁的数学文章合集:
A collection of Jiang Jiren’s mathematical articles:

• 形变量子化与Kontsevich’s Formality(Chinese): [PDF]

  Maxim Kontsevich 1997年论文 “Deformation Quantization of Poisson” 的中文版读书笔记，为清华大学数学学堂班科研论文训练作品.

  This is a Chinese reading note of Maxim Kontsevich’s 1997 paper “Deformation Quantization of Poisson Manifolds,” produced as a research paper training project for the Tsinghua University Mathematics Xi Tang Class.

  本论文在李思教授指导下完成.

  This work was completed under the guidance of Professor Li Si.

  
  

• Hopf代数与重整化流(Chinese): [PDF]

  基于 Kreimer 和 Connes 关于 Hopf代数 及重整化流的工作写成的总结性中文文章, 记述了 Kreimer 和 Connes 关联 Hopf代数 的特征与重整化散射振幅计算的工作.

  A summary article in Chinese based on the work of Kreimer and Connes on Hopf algebras and renormalization flow. It documents the work of Kreimer and Connes connecting the characteristics of Hopf algebras with the calculation of renormalized scattering amplitudes.

  本论文由周杰教授指导完成, 并接受了来自李思教授, Nicolai Reshetikhin教授等老师的帮助. 丁徐祉晗和杨鹏也在讨论中提供了有用的见解.

  This paper was completed under the guidance of Professor Zhou Jie and received assistance from professors including Professor Li Si and Professor Nicolai Reshetikhin. Ding Xuzhihan and Yang Peng also provided valuable insights during discussions.