Аннотация:
We give a survey of some recent advances in parabolic Hitchin systems (parabolic Beauville–Narasimhan–Ramanan correspondence, mirror symmetry for parabolic Hitchin systems), and in exact methods of solving the non-parabolic Hitchin systems.
Bibliography: 55 titles.
Ключевые слова:classical and parabolic Hitchin systems, Hitchin map and fibres, mirror symmetry, exact methods.
This work was performed at the Steklov International
Mathematical Center and supported by the Ministry of Science and
Higher Education of the Russian Federation (agreement № 075-15-2022-265).
Поступила в редакцию: 14.12.2023
Тип публикации:
Статья
УДК:514.83+514.853+517.957
Язык публикации: английский
Образец цитирования:
O. K. Sheinman, Bin Wang, “Hitchin systems: some recent advances”, УМН, 79:4(478) (2024), 131–168