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

### APA

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

### MLA

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

### BibTex

@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

## 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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