中科院数学与系统科学研究院

数学研究所

表示论研讨班

报告人：Dr. Xiaoting Zhang（Uppsala University, Sweden）

题  目：2-representations of fiat 2-categories I、II

时  间：2019.10.23（星期三），10:00-11:00

2019.10.23（星期三），11:05-12:05

地  点：数学院南楼N902室

摘  要：In this talk,  I will introduce the 2-representation theory of fiat 2-categories and the reduction theorem which reduces the classfication problem of simple transitive 2-representations for fiat 2-categories to that for fiat 2-categories with only one non-identity left, right and two-sided cell. This is a joint work with M. Mackaay, V. Mazorchuk, V. Miemietz.

In this second talk, I will show a conjectural classification of simple transitive 2-representations of Soergel bimodules for a finite Coxeter group which we prove in almost all Weyl types. This is a joint work with M. Mackaay, V. Mazorchuk, V. Miemietz and D. Tubbenhauer.