English

Enhanced mirror symmetry for Langlands dual Hitchin systems

Algebraic Geometry 2021-12-23 v2 High Energy Physics - Theory Representation Theory

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.

Keywords

Cite

@article{arxiv.2112.09455,
  title  = {Enhanced mirror symmetry for Langlands dual Hitchin systems},
  author = {Tamás Hausel},
  journal= {arXiv preprint arXiv:2112.09455},
  year   = {2021}
}

Comments

23 pages, typos corrected, reference added, submitted to Proceedings of ICM 2022