The proceedings of the virtual 2022 International Congress of Mathematicians has appeared. It can be freely downloaded. Our contribution with title “Enhanced mirror symmetry for Langlands dual Hitchin systems” can be found here. Its abstract is:
“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.”
The original talk can be watched on youtube.
