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A construction of limiting solutions of Hitchin's equations

Presented by: 
L Fredrickson University of Texas at Austin
Wednesday 5th August 2015 - 11:00 to 12:00
INI Seminar Room 2
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons