PIRSA:20060046

Video URL

https://pirsa.org/20060046

An extension of Suzuki's functor to the critical level

Przezdziecki, T. (2020). An extension of Suzuki's functor to the critical level. Perimeter Institute for Theoretical Physics. https://pirsa.org/20060046

Przezdziecki, Thomas. An extension of Suzuki's functor to the critical level. Perimeter Institute for Theoretical Physics, Jun. 25, 2020, https://pirsa.org/20060046 

          @misc{ scivideos_PIRSA:20060046,
            doi = {10.48660/20060046},
            url = {https://pirsa.org/20060046},
            author = {Przezdziecki, Thomas},
            keywords = {Mathematical physics},
            language = {en},
            title = {An extension of Suzuki{\textquoteright}s functor to the critical level},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060046 see, \url{https://scivideos.org/index.php/pirsa/20060046}}
          }

Thomas Przezdziecki University of Edinburgh

Talk numberPIRSA:20060046
DOI10.48660/20060046
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

Abstract

Suzuki's functor relates the representation theory of the affine Lie algebra to the representation theory of the rational Cherednik algebra in type A. In this talk, we discuss an extension of this functor to the critical level, t=0 case. This case is special because the respective categories of representations have large centres. Our main result describes the relationship between these centres, and provides a partial geometric interpretation in terms of Calogero-Moser spaces and opers.