A conceptual proof of non-abelian Katz's formula is provided using sheared de Rham stacks.
Higgs cohomology, p-curvature, and the cartier isomorphism.Compositio Mathematica, 121(3):265–294
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Non-Abelian p-Curvature and a Non-Abelian Katz's Formula
A conceptual proof of non-abelian Katz's formula is provided using sheared de Rham stacks.