Algebraic Geometry Seminar
Friday, November 18, 2022, 3:30pm, Gross 304B
Olivia Dumitrescu (UNC, Mathematics)
On opers and complex lagrangians
Abstract:- In 2014 Gaiotto conjectured a lagrangian correspondence between holomorphic lagrangian of opers
in the Dolbeault moduli space of Higgs bundles and the de Rham moduli space of holomorphic connections, that is known today as conformal limit. This conjecture was established in 2016 for holomorphic opers.
In this talk I will present an algebraic geometry approach to conformal limits.
In rank 2, I will construct a holomorphic lagrangian foliation in the Hitchin moduli space based on the work of Simpson. This talk is based on joint work with Motohico Mulase.
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