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Enhanced mirror symmetry for Langlands dual Hitchin systems

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arxiv 2112.09455 v2 pith:WB5KQMYW submitted 2021-12-17 math.AG hep-thmath.RT

Tamás Hausel This is my paper · ORCID
classification math.AGhep-thmath.RT
keywords hitchinmirrorduallanglandspartsymmetrysystemsalgebras
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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.

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Cited by 1 Pith paper

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  1. Langlands Duality and Invariant Differential Operators

    math.RT 2024-11 conditional novelty 4.0 of 10

    The paper connects invariant differential operators to Langlands duality by showing that Knapp-Stein duality in representation multiplets of SL(2n,R) mimics Langlands dual pairs.

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