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Seminar

Learning seminar on stability conditions: Spectral coordinates, pleated surfaces, and condensed matter physics December 02, 2019 (10:00 AM PST - 11:00 AM PST)
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Location: MSRI: Baker Board Room
Speaker(s) Aaron Fenyes (Institut des Hautes √Čtudes Scientifiques (IHES))
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A flat SL(2,C) bundle on a punctured torus isn't much to look at: it's basically just a pair of matrices. If you give the torus a flat metric, though, you can do a lot of interesting things by following flat sections of the bundle along straight paths. If you're a complex symplectic geometer, you can find the bundle's spectral coordinates. If you're a hyperbolic geometer, you can often build a pleated hyperbolic structure on the torus. If you're a condensed matter physicist, you can sometimes make a model of electrons hopping around on a chain of atoms. I'll present evidence for a surprising connection between these three things.

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