$\mathrm{SL}(3)$ Fenchel-Nielsen coordinates on the $3$-punctured sphere

By Lotte Hollands

Appears in collection : 2025 - T2 - WS1 - Higher rank geometric structures, Higgs bundles and physics

In this talk I'll review how the technology of spectral networks and abelianisation leads to a higher rank version of complexified Fenchel-Nielsen coordinates on the 3-punctured sphere. This is mostly based on arXiv:1906.04271.

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Citation data

  • DOI 10.57987/IHP.2025.T2.WS1.007
  • Cite this video Hollands, Lotte (20/05/2025). $\mathrm{SL}(3)$ Fenchel-Nielsen coordinates on the $3$-punctured sphere. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T2.WS1.007
  • URL https://dx.doi.org/10.57987/IHP.2025.T2.WS1.007

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