PIRSA:24020053 Scientific Series Mathematical physics

DOI10.48660/24020053

Series: Mathematical Physics

Abedin, R. (2024). The r-matrix structure of Hitchin systems via loop group uniformization. Perimeter Institute. https://pirsa.org/24020053

Abedin, Raschid. The r-matrix structure of Hitchin systems via loop group uniformization. Perimeter Institute, Feb. 08, 2024, https://pirsa.org/24020053 

@misc{ pirsa_PIRSA:24020053,
  doi = {10.48660/24020053},
  url = {https://pirsa.org/24020053},
  author = {Abedin, Raschid},
  keywords = {Mathematical physics},
  language = {en},
  title = {The r-matrix structure of Hitchin systems via loop group uniformization},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {feb},
  note = {PIRSA:24020053 see, \url{https://pirsa.org}}
}

Abstract

The Hitchin systems are a remarkable family of integrable models associated to the moduli space of principal bundles on a compact Riemann surface. In this talk, I explain how the loop group uniformization of this moduli space can be used to construct an r-matrix for the Hitchin systems. This r-matrix has been previously used in the description of the Friedan-Schenker connection on the space of conformal blocks.

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