Parallel transport for vector bundles on p-adic varieties

@inproceedings{Deninger2017ParallelTF,
  title={Parallel transport for vector bundles on p-adic varieties},
  author={Christopher Deninger and Annette Werner},
  year={2017}
}
We develop a theory of \'etale parallel transport for vector bundles with numerically flat reduction on a $p$-adic variety. This construction is compatible with natural operations on vector bundles, Galois equivariant and functorial with respect to morphisms of varieties. In particular, it provides a continuous $p$-adic representation of the \'etale fundamental group for every vector bundle with numerically flat reduction. The results in the present paper generalize previous work by the authors… CONTINUE READING
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