Enhanced mirror symmetry for Langlands dual Hitchin systems
Tamás Hausel
Institute of Science and Technology Austria, Am Campus 1, Klosterneuburg 3400, Austria
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Abstract
The first part of this paper is a survey of mathematical results on mirror symmetry phenomena between Hitchin systems for Langlands dual groups. The second part introduces and discusses multiplicity algebras of the Hitchin system on Lagrangians, and considers corresponding conjectural structures on their mirror.