报告人：Sylvie Paycha(法国克莱蒙奥弗涅大学)

时间：2023年08月21日 10:00-

地点：数统学院LD402

摘要：Starting from the principle of locality in quantum field theory, which states that an object is influenced directly only by its immediate  surroundings, I shall first briefly review some features of the notion of locality arising in physics and mathematics. These are then encoded in locality relations, given by symmetric binary relations whose graph consists of pairs of "mutually independent elements". Locality morphisms, namely maps that factorise on products of such pairs of elements, play a key role in the context of renormalisation in multiple variables. They include "locality evaluators", which are used to consistently evaluate meromorphic germs in several variables at their poles. If time allows, I will report on recent joint work with Li Guo and Bin Zhang which gives a classification of locality evaluators on certain classes of algebras of meromorphic germs.  It uses previous joint work with these two authors and Pierre Clavier.

简介：Sylvie Paycha is 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 (1995--2022).  She received her PhD at the Ruhr University in Bochum in 1988. She works in mathematical physics using tools borrowed from pseudo-differential analysis, geometry and number theory. In 2014, she was promoted   "Chevalier de la Légion d'honneur" in France for the activities she carried out to support women in mathematics. From 2019 to 2023 (with an interruption during the Corona pandemic) she benefited from a Simons Emmy Noether fellowship at the Perimeter Institute in Waterloo, Canada.

邀请人：杨箪屿

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