Logarithmic Prismatic Cohomology via Logarithmic THH
Abstract
Inspired by Bhatt-Morrow-Scholze's work on THH, we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log THH and its variants. Moreover, of independent interest, we describe log THH for quasiregular semiperfectoids as a 1-parameter deformation of ordinary, non-logarithmic Hochschild homology.
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