BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Lagrangian correspondence between Hitchin and de Rham moduli spacesâ â Dumitrescu, Olivia

Description

In 2014 Gaiotto conjectured a Lagrangian correspondence between holomorphic Lagrangian of opers in the Dolbeault moduli space of Higgs bundles â and the de Rham moduli space of holomorphic connections. â The conjecture was solved in 2016 for holomorphic opers in paper with Fredrickson, Kydonakis, Mazzeo, Mulase and Neitzke. â By a similar analysis method, Collier and Wentworth, extended the correspondence for more general Lagrangians consisting of stable points. â In my talk, I will present an algebraic geometry description of the Lagrangian correspondence of Gaiotto, based on the work of Simpson.â

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