The wild McKay correspondence and $p$-adic measures

TL;DR

This paper establishes a version of the wild McKay correspondence using $p$-adic measures, offering new proofs for mass formulas related to local field extensions by leveraging this novel approach.

Contribution

It introduces a $p$-adic measure-based proof of the wild McKay correspondence, connecting it to classical mass formulas for local field extensions.

Findings

New proof of the wild McKay correspondence

Derivation of mass formulas for local field extensions

Application of $p$-adic measures in algebraic geometry

Abstract

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 Serre, Bhargava and Kedlaya.