Adiabatic degeneration and Non-Abelianization

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• Nick Nho, University of Cambridge
• Friday 17 February 2023, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

Given a pair of a compact Riemann surface C with marked points, and a simple branched cover Sigma, which trivializes over the marked point, and some little additional structure called the spectral network, there exists an isomorphism from the moduli space of equivariant GL(1)-local systems on Sigma to the moduli space of “framed” flat SL(2) local systems on C, called the Non-Abelianization map. I’ll explain how this map comes from counting pseudo-holomorphic strips.

This talk is part of the Junior Geometry Seminar series.

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