Enhanced mirror symmetry for Langlands dual Hitchin systems
arXiv:2112.09455
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.
23 pages, typos corrected, reference added, submitted to Proceedings of ICM 2022