Speaker: Kentaro Inoue (Kyoto University)
Time: 10:00-11:00  July 24th, 2025 (Thursday)
Venue: MCM110

Title: Log prismatic crystals and cohomology

Abstract: Bhatt and Scholze introduced the theory of prismatic cohomology, which plays a striking role in integral $p$-adic Hodge theory. This cohomology theory is equipped with coefficient objects, called prismatic $F$-crystals. Guo and Reinecke studied the cohomology of prismatic $F$-crystals and applied it to proving the relative version of the $\mathrm{C}_{\mathrm{crys}}$-conjecture with non-trivial coefficients. I will talk about a logarithmic variant of this story, based on my previous work and ongoing work with Teruhisa Koshikawa.