Tame parahoric nonabelian Hodge correspondence in positive characteristic over algebraic curves (Q6565770)

\textit{T.-H. Chen} and \textit{X. Zhu} established a nonabelian Hodge correspondence for principal bundles on curves with the help of Hitchin morphisms [Geom. Funct. Anal. 25, No. 6, 1706--1733 (2015; Zbl 1330.14015)]. Based on Chen-Zhu's work, the authors studied the correspondence for parahoric torsors under tameness condition. The tameness condition has two meanings in this article: the first one is that the Higgs fields and connections have regular singularities, which is called tameness introduced by \textit{C. T. Simpson} [J. Am. Math. Soc. 3, No. 3, 713--770 (1990; Zbl 0713.58012)]; the second one is that parahoric torsors are related to equivariant principal bundles on an appropriate tamely ramified covering, which is studied by \textit{V. Balaji} and \textit{C. S. Seshadri} [J. Algebr. Geom. 24, No. 1, 1--49 (2015; Zbl 1330.14059)]. Moreover, the establishment of the correspondence depends on a careful local calculation between Higgs fields and connections, which is an analogue of \textit{P. P. Boalch}'s work in characteristic zero [Transform. Groups 16, No. 1, 27--50 (2011; Zbl 1232.34117)].