2:00 pm Friday, April 17, 2020
Dissertation defense talk : The Ooguri-Vafa space as a moduli space of framed wild harmonic bundles by Ivan Tulli in Zoom
The Ooguri-Vafa hyperkahler metric is expected to be part of the local model of the -hyperkahler metric of the Hitchin moduli spaces, near the generic part of the discriminant locus. In this dissertation, we show that the Ooguri-Vafa space can be interpreted as a certain set of rank 2, framed wild harmonic bundles over CP^1, with one irregular singularity. Along the way, we also find that the electric and magnetic twistor coordinates from the work of Gaiotto-Moore-Neitzke; which describe the hyperkahler geometry of the Ooguri-Vafa space, have an interpretation in terms of Stokes data associated to our framed wild harmonic bundles. (Email me if you want the Zoom link) Submitted by
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