报告题目：Variations on locality

报告人：Sylvie Paycha, University of Potsdam

所在单位：University of Potsdam

报告时间：2024年8月24日11:00-13:00

报告地点：吉林大学数学楼第5研讨室

报告摘要:The principle of locality in quantum field theory states that an object is influenced directly only by its immediate surroundings. We introduce locality relations, defined as symmetric binary relations, which capture essential features of locality. Correspondingly we define locality morphisms, namely maps that factorise on products of pairs in the graph of such locality relations. This factorisation is a key property in the context of renormalisation, which served as a motivation for us to introduce the notation of locality in the first place. I will show its efficiency when counting lattice points inside a cone. This apriori infinite cardinal can naturally be renormalised by implementing are gularisation in several variables. There locality plays an essential role in avoiding "fake" finite contributions. It enables a "minimal subtraction scheme" in several variables which singles out a relevant finite part from the a priori infinite cardinal. This is based on joint work with Li Guo and Bin Zhang。

报告人简介：Sylvie Paycha is a professor at the mathematics department of the University of Potsdam in Germany since 2011 after holding a professorship at the University Clermont-Auvergne in France. She received her PhD at the Ruhr University in Bochum. She works in mathematical physics using tools borrowed from pseudo-differential analysis, geometry and number theory.