The wild McKay correspondence and $p$-adic measures

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.

25 pages. revision following comments of referees

References in corpus (2)

• Wilder McKay correspondences
• Mass formulas for local Galois representations and quotient singularities II: dualities and resolution of singularities

Cited by in corpus (12)

• Wilder McKay correspondences
• Mass formulas for local Galois representations and quotient singularities II: dualities and resolution of singularities
• Theta-Induced Diffusion on Tate Elliptic Curves over Non-Archimedean Local Fields
• Moduli of formal torsors II
• Notes on the motivic McKay correspondence for the group scheme ${\alpha }_p$
• Motivic integration over wild Deligne-Mumford stacks
• Mirror symmetry for parabolic Higgs bundles via $p$-adic integration
• Open problems in the wild McKay correspondence and related fields
• Euler characteristic of crepant resolutions of specific modular quotient singularities
• Motivic versions of mass formulas by Krasner, Serre and Bhargava
• Rational singularities for moment maps of totally negative quivers
• Poisson summation for Hankel transforms