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 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).