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Geometric correspondances between singular fibres of the Hitchin fibration
Laura Schaposnik, SUNY Stony Brook
Location: Physics & Astronomy - 385E
Date & time: Monday, 08 April 2019 at 3:30PM - 4:30PM
Abstract: Higgs bundles are pairs of holomorphic vector bundles and holomorphic 1-forms taking values in the endomorphisms of the bundle, and their moduli spaces carry a natural hyperkahler structure, through which one can study Lagrangian subspaces (A-branes) or holomorphic subspaces (B-branes). Notably, these A and B-branes have gained significant attention both within mathematics and string theory. In this talk we shall consider novel correspondences between branes lying completely within the singular fibres of the Hitchin fibration, which can be understood through group isomorphisms.
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