PIRSA:20060046

# An extension of Suzuki's functor to the critical level

### APA

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

### MLA

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

### BibTex

@misc{ 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},
year = {2020},
month = {jun},
note = {PIRSA:20060046 see, \url{https://pirsa.org}}
}

Thomas Przezdziecki University of Edinburgh

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## 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.