PIRSA:20010085

Unrolled Quantum Groups and Vertex Operator Algebras

APA

Rupert, M. (2020). Unrolled Quantum Groups and Vertex Operator Algebras. Perimeter Institute. https://pirsa.org/20010085

MLA

Rupert, Matthew. Unrolled Quantum Groups and Vertex Operator Algebras. Perimeter Institute, Jan. 09, 2020, https://pirsa.org/20010085

BibTex

          @misc{ pirsa_PIRSA:20010085,
            doi = {10.48660/20010085},
            url = {https://pirsa.org/20010085},
            author = {Rupert, Matthew},
            keywords = {Mathematical physics},
            language = {en},
            title = {Unrolled Quantum Groups and Vertex Operator Algebras},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jan},
            note = {PIRSA:20010085 see, \url{https://pirsa.org}}
          }
          

Matthew Rupert University of Alberta

Abstract

Connections between representation categories of quantum groups and vertex operator algebras (VOAs) have been studied since the 1990s starting with the pioneering work of Kazhdan and Lusztig. Recently, connections have been found between unrolled quantum groups and certain families of VOAs. In this talk, I will introduce unrolled quantum groups and describe their connections to the Singlet, Triplet, and Bp vertex operator algebras.