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Seminar

GT Program Seminar: On “the” GMN Construction of Hyperkähler Metrics on Moduli Spaces of Higgs Bundles October 04, 2022 (11:00 AM PDT - 12:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Maximilian Holdt (Christian-Albrechts Universität Kiel)
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GT Program Seminar: On “The” GMN Construction Of Hyperkähler Metrics On Moduli Spaces Of Higgs Bundles

Abstract/Media

To participate in this seminar, please register HERE.

Ten years ago Gaiotto, Moore and Neitzke proposed a twistorial method of constructing Hyperkähler metrics on moduli spaces of Higgs bundles via solutions of a certain Riemann-Hilbert problem. Additionally they conjectured that a different construction, using Fock-Goncharov coordinates, exists for the specific case of weakly parabolic Higgs bundles. I will explain how it is possible to use recent results of Fredrickson, Mazzeo, Swoboda and Weiß to carry out this specific construction, how it relates to the general Riemann-Hilbert case and how it helps in comparing the L^2 metric and the semiflat metric on the moduli space.

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GT Program Seminar: On “The” GMN Construction Of Hyperkähler Metrics On Moduli Spaces Of Higgs Bundles