|Date||May 17, 2023|
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.