  The wild McKay correspondence is a form of McKay correspondence in terms of
stringy invariants that is generalized to arbitrary characteristics. It gives
rise to an interesting connection between the geometry of wild quotient
varieties and arithmetic on extensions of local fields.
  The principal purpose of this article is to collect open problems on the wild
McKay correspondence, as well as those in related fields that the author
believes are interesting or important. It also serves as a survey on the
present state of these fields.
