Enhanced mirror symmetry for Langlands dual Hitchin systems
Hausel T. 2022.Enhanced mirror symmetry for Langlands dual Hitchin systems. In: International Congress of Mathematicians. , 2228–2249.
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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.
Publishing Year
Date Published
2022-07-15
Book Title
International Congress of Mathematicians
Publisher
EMS Press
Acknowledgement
The author thanks Nigel Hitchin for introducing him to Higgs bundles during 1995–1998,
suggesting the SYZ picture for Langlands dual Hitchin systems in 1996, and for the
more recent collaborations [29, 30]. He also thanks David Ben-Zvi, Pierre-Henri Chaudouard, Pierre Deligne, Ron Donagi, Sergei Gukov, Jochen Heinloth, Vadim Kaloshin,
Joel Kamnitzer, Gérard Laumon, Anton Mellit, David Nadler, Andy Neitzke, Ngô Bao
Châu, Michael Thaddeus, Tony Pantev, Du Pei, Richárd Rimányi, Leonid Rybnikov, Vivek
Shende, Balázs Szendrői, András Szenes, Fernando Rodriguez-Villegas, Edward Witten,
and Zhiwei Yun for discussions about the subjects in this paper over the years. Thanks are
also due to Hülya Argüz, Jakub Löwit, Balázs Szendrői, and Nigel Hitchin for the careful
reading of the paper.
Page
2228-2249
Conference
ICM: International Congress of Mathematicians
Conference Location
virtuel
Conference Date
2022-07-06 – 2022-07-14
ISBN
IST-REx-ID
Cite this
Hausel T. Enhanced mirror symmetry for Langlands dual Hitchin systems. In: International Congress of Mathematicians. EMS Press; 2022:2228-2249. doi:10.4171/icm2022/164
Hausel, T. (2022). Enhanced mirror symmetry for Langlands dual Hitchin systems. In International Congress of Mathematicians (pp. 2228–2249). virtuel: EMS Press. https://doi.org/10.4171/icm2022/164
Hausel, Tamás. “Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems.” In International Congress of Mathematicians, 2228–49. EMS Press, 2022. https://doi.org/10.4171/icm2022/164.
T. Hausel, “Enhanced mirror symmetry for Langlands dual Hitchin systems,” in International Congress of Mathematicians, EMS Press, 2022, pp. 2228–2249.
Hausel T. 2022.Enhanced mirror symmetry for Langlands dual Hitchin systems. In: International Congress of Mathematicians. , 2228–2249.
Hausel, Tamás. “Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems.” International Congress of Mathematicians, EMS Press, 2022, pp. 2228–49, doi:10.4171/icm2022/164.
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