THESIS DEFENSE: Framed Bundles, Abelianization, and the Ooguri-Vafa Space

Fri May 2, 2025 1:30 p.m.—2:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Social events

Event time: 
Friday, May 2, 2025 - 1:30pm

Location: 
KT 801

Speaker: 
Danny Nackan

Speaker affiliation: 
Yale University

Event description: 
Moduli spaces of Higgs bundles were introduced by Hitchin in 1987 and are now ubiquitous in geometry. They are closely related to other fundamental spaces such as character varieties, and they carry an incredibly rich structure, including a hyperkähler metric (a Riemannian metric compatible with three complex structures). In this talk I will give a gentle introduction to all of these objects, and describe some recent progress towards describing the metric near the singular locus of the Hitchin fibration.

Special note: 
Thesis defense