Notes on the A_inf-cohomology of Integral p-adic Hodge theory
  We present a detailed overview of the construction of the A_inf-cohomology theory from the preprint "Integral p-adic Hodge theory", joint with B. Bhatt and P. Scholze. We focus particularly on the p-adic analogue of the Cartier isomorphism via relative de Rham--Witt complexes. 
Matthew Morrow
math.AG math.NT