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Lagrangians and mirror symmetry in the Higgs bundle moduli space

December 1, 2021 @ 4:00 pm - 5:00 pm

Abstract: The talk concerns recent work with Tamas Hausel in asking how SYZ mirror symmetry works for the moduli space of Higgs bundles. Focusing on C^*-invariant Lagrangian submanifolds, we use the notion of virtual multiplicity as a tool firstly to examine if the Lagrangian is closed, but  also to open up new features involving finite-dimensional algebras which are deformations of cohomology algebras. Answering some of the questions raised  requires revisiting basic constructions of stable bundles on curves.


December 1, 2021
4:00 pm - 5:00 pm
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