The wild McKay correspondence and \(p\)-adic measures (Q1687385)

Summary: We prove a version of the wild McKay correspondence by using \(p\)-adic measures. This result provides new proofs of mass formulas for extensions of a local field by \textit{J.-P. Serre} [C. R. Acad. Sci., Paris, Sér. A 286, 1031--1036 (1978; Zbl 0388.12005)], \textit{M. Bhargava} [Int. Math. Res. Not. 2007, No. 17, Article ID rnm052, 20 p. (2007; Zbl 1145.11080)] and \textit{K. S. Kedlaya} [Int. Math. Res. Not. 2007, No. 17, Article ID rnm021, 25 p. (2007; Zbl 1175.11071)].