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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