PIRSA:24020053

The r-matrix structure of Hitchin systems via loop group uniformization

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}}
          }

Raschid Abedin ETH Zurich

Talk numberPIRSA:24020053
DOI10.48660/24020053
Collection
Talk Type Scientific Series
Subject

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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