论文标题
Feynman积分
Feynman Integrals
论文作者
论文摘要
Feynman积分的课程始于基础知识，仅需要特殊相对论和本科数学的知识。根据需要引入量子场理论和高级数学的主题。该课程涵盖了Feynman积分领域的现代发展。本课程中包含的主题是：Feynman积分的表示形式，逐个组成，微分方程，相交理论，多个Polylogarithms，Gelfand-Kapranov-Zelevinsky Systems，Coactions和符号，集群代数，代数，Elliptic Feynman积分，与Feynman Integrals相关的动机。
This course on Feynman integrals starts from the basics, requiring only knowledge from special relativity and undergraduate mathematics. Topics from quantum field theory and advanced mathematics are introduced as they are needed. The course covers modern developments in the field of Feynman integrals. Topics included in this course are: Representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, motives associated to Feynman integrals.
