北京雁栖湖应用数学研究院

舟木 直久 , 吴劲松

Alexei Davydov

2025年03月12日 17:00 至 18:00

A6-101

Zoom 388 528 9728 (BIMSA)

Groups are mathematical ways of talking about symmetries. From its beginning Group Theory was driven by the idea of symmetry and its applications (e.g. Galois' proof of unsolvability of a quintic). One of the most spectacular applications of Group Theory was the classification of crystals achieved at the end of the 19th century. In the middle of the 20th century Group Theory was used to describe all known states of matter. Experimental developments in the condensed matter physics at the end of the 20th century were not fitting the standard Group Theory scheme. They forced us to generalise the mathematical formulation of symmetry.
The talk will introduce this general notion, the one of tensor category.

Professor Alexei Davydov got his PhD from Moscow University 1992, and worked at Moscow University as assistant professor from 1990 to 1998. After working at National University of Singapore, Macquarie University and Max Planck Institute for Mathematics, he became a visiting professor at University of New Hampshire. Professor Davydov have been working at Ohio University since 2012, and became a professor there since 2019. Professor Davydov is interested in algebra, representation theory and their connections to mathematical physics, specializing in Hopf algebras, quantum groups, tensor categories and their applications in conformal field theory.