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A construction of limiting solutions of Hitchin's equations

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Metric and Analytic Aspects of Moduli Spaces

I’ll describe a construction of solutions of Hitchin’s equations on a compact Riemann surface near the “ends” of the SL(n,C)-Hitchin moduli space. This construction generalizes Mazzeo-Swoboda-Weiss-Witt’s construction of SL(2,C) solutions of Hitchin’s equations where the Higgs field is “simple.” In the generalized construction, moduli spaces of irregular connections arise. This is ongoing work.

This talk is part of the Isaac Newton Institute Seminar Series series.

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