**Date:**2023-05-17 16**:**00 ~ 17:00-
**Place:**129-406 (SNU) **Speaker**: 박의용 (서울시립대학교)**Title**: Affinizations, R-matrices and reflection functors**Abstract**:

In the talk, I will talk about affinizations and R-matrices in the language of categories. As an application, I will explain the reflection functors over the localizations of quiver Hecke algebras of arbitrary finite types. This reflection functor categorifies the braid group action on the half of a quantum group and the Saito reflection. This talk is based on arXiv:2304.00238.