Workshop: Higher rank geometric structures, Higgs bundles and physics

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

May 20, 2025, 4:00 PM

1h

Amphithéâtre Hermite (Institut Henri Poincaré)

Speaker

Lotte Hollands (Heriot-Watt University)

Description

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.