11 problems

Orbifold form of the non-linear McKay correspondence. With this definition,

The motivic McKay correspondence for linear actions II. We have

The motivic McKay correspondence for linear actions I. We have

Fiber-structure conjecture. For $n\gg0$, the fiber of $p_n$ over the image of $\gamma$ is homeomorphic to a quotient of

Linear wild change-of-variables conjecture.

Untwisted change-of-variables conjecture.

Wild jet-moduli conjecture. The moduli spaces $G\text{-}\mathrm{Cov}(D)$ and $J_n^GV$ exist and have the finiteness properties required to define the motivic measure.

Wild moduli-space conjecture. The sets $G\text{-}\mathrm{Cov}(D)$, $J_n^{G,E}V$, and $J_n^GV$ for $0\le n<\infty$ are realized as $k$-schemes admitting stratifications with at most…

The motivic McKay correspondence for non-linear actions. We have

The wild McKay correspondence conjecture. If the quotient morphism $V\to X$ is étale in codimension one, then

Point-counting realization of the wild McKay conjecture. If the residue field $\kappa$ is finite, then