  We define and construct integral canonical models for automorphic vector
bundles over Shimura varieties of abelian type.
  More precisely, we first build on Kisin's work to construct integral
canonical models over rings of integers of number fields with finitely many
primes inverted for Shimura varieties of abelian type with hyperspecial level
at all primes we do not invert, compatible with Kisin's construction. We then
define a notion of an integral canonical model for the standard principal
bundles lying over Shimura varieties and proceed to construct them in the
abelian type case. With these in hand, one immediately also gets integral
models for automorphic vector bundles.

Number Theory;Algebraic Geometry