摘要：Feynman integrals are essential in perturbative quantum field theory for precision predictions. Given a family of Feynman integrals, the block structures determined by sectors, which are induced by the number of propagators, are well-known. Recently, we found that Feynman integrals have universal multi-layered structures, very similar to Hodge structures in algebraic geometry, on top of block structures. These universal structures can not only simplify IBP reductions, but also lead to \varepsilon-factorized differential equations algorithmically, no matter what geometry the integrals are related to. The algorithmic method based on these structures streamlines analytic calculations of any Feynman integrals and has the potential to be combined with some numeric methods.
个人简介：王星，2024年底加入香港中文大学（深圳）理工学院任助理教授。2014年和2019年在北京大学获得理学学士和理论物理博士学位，并从2019年10月到2024年11月于德国美因茨大学和慕尼黑工业大学从事博士后研究工作。他的主要研究领域是微扰量子场论及其在粒子物理中精确预言，以及与宇宙学和数学的潜在的学科交叉。