Moduli of formal torsors. II (Q6043799)

Extending results from their previous paper [\textit{F. Tonini} and \textit{T. Yasuda}, J. Algebr. Geom. 29, No. 4, 753--801 (2020; Zbl 1455.14024)], the authors construct a version of the moduli space of \(G\)-torsors over \(Spec \ k((t))\) for arbitrary finite group \(G\) and field \(k\) of positive characteristic. In order to do that they define the notion of \(P\)-schemes by modifying morphisms of the category of schemes and they single out the \(P\)-scheme representing the relevant moduli functor the closest. As main outcome, they apply their constructions to the theory of wild McKay correspondence by showing that some motivic integrals are well-defined.