# Where to start reading into p-adic non-abelian Hodge theory?

I'm curious about Faltings' "A p-adic Simpson correspondence ". Do you know more detailed, introductory, expositions, surveys, texts of seminars on that?

Edit: Annette Werner's survey "Vector Bundles on Curves over C_p" seems to be related.

Edit: The first part of a "new approach for the p-adic Simpson correspondence, closely related to the original approach of Faltings, but also inspired by the work of Ogus and Vologodsky on an analogue in characteristic p>0". An other related article.

Edit: today new in arxiv - "Non-abelian Hodge theory for algebraic curves over characteristic p"

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This doesn't answer the question, but you might want to check out Martin Olsson's Towards non--abelian $P$--adic Hodge theory in the good reduction case.