Скачать или смотреть An extension of Suzuki's functor to the critical level

Speaker(s): Thomas Przezdziecki


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.



From the zoom conference ``Geometric Representation Theory'', hosted by the Max Planck Institute for Mathematics in Bonn and the Perimeter Institute for Theoretical Physics, 22/06/20 to 26/02/20. All videos downloaded from pirsa.org