PIRSA:22060012 Conference Mathematical physics

DOI10.48660/22060012

Conference/School: Global Categorical Symmetries

Negron, C. (2022). A (kind of) monoidal localization theorem for the small quantum group. Perimeter Institute. https://pirsa.org/22060012

Negron, Cris. A (kind of) monoidal localization theorem for the small quantum group. Perimeter Institute, Jun. 08, 2022, https://pirsa.org/22060012 

@misc{ pirsa_PIRSA:22060012,
  doi = {10.48660/22060012},
  url = {https://pirsa.org/22060012},
  author = {Negron, Cris},
  keywords = {Mathematical physics},
  language = {en},
  title = {A (kind of) monoidal localization theorem for the small quantum group},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {jun},
  note = {PIRSA:22060012 see, \url{https://pirsa.org}}
}

Abstract

" I will talk about a monoidal localization theorem for the small quantum group u_q(G), where G is a reductive algebraic group and q is a root of unity. In joint work with Julia Pevtsova, we show that the category of representations for u_q(G) admits a fully faithful tensor embedding into the category of coherent sheaves over a “quantum” flag variety. This quantum flag variety is, essentially, some finitely fibered space over the classical flag variety G/B. I will explain how this embedding theorem codifies certain relationships between the small quantum group and its quantum Borels. "

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