Keiho Matsumoto

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20222026

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math.AG2023

Crystalline representations and $p$ -adic Hodge theory for non-commutative algebraic varieties

Keiho Matsumoto

Let $T$ be an $O_{K}$ -linear idempotent-complete, small smooth proper stable $\infty$ -category, where $K$ is a finite extension of $Q_{p}$ . We give a Breui…

math.AG2023

Towards the $p$ -adic Hodge theory for non-commutative algebraic varieties

Keiho Matsumoto

We construct a K-theory version of Bhatt-Morrow-Scholze's Breuil-Kisin cohomology theory for $\sO_K$-linear idempotent-complete, small smooth proper stable infinity-categories, whe…

Crystalline representations and p-adic Hodge theory for non-commutative algebraic varieties

Towards the p-adic Hodge theory for non-commutative algebraic varieties

Crystalline representations and $p$ -adic Hodge theory for non-commutative algebraic varieties

Towards the $p$ -adic Hodge theory for non-commutative algebraic varieties