Yutaro Mikami

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20232026

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math.NT2026

The $p$ -adic monodromy theorem over algebraic-affinoid algebras

Yutaro Mikami

In the previous paper of the author, motivated by the categorical $p$ -adic local Langlands correspondence, the author studied families of $G_{K}$ -equivariant vector bundles over the…

math.NT2025

Finiteness and duality of cohomology of $(φ, Γ)$ -modules and the 6-functor formalism of locally analytic representations

Yutaro Mikami

Finiteness and duality of cohomology of families of $(φ, Γ)$ -modules were proved by Kedlaya-Pottharst-Xiao. In this paper, we study solid locally analytic representations introduced…

math.NT2024

$(φ, Γ)$ -modules over relatively discrete algebras

Yutaro Mikami

In this paper, we study $(φ, Γ)$ -modules over rings which are "combinations of discrete algebras and affinoid $Q_{p}$ -algebras", and prove basic results such as the existence…

The p-adic monodromy theorem over algebraic-affinoid algebras

Finiteness and duality of cohomology of (φ,Γ)-modules and the 6-functor formalism of locally analytic representations

(φ,Γ)-modules over relatively discrete algebras

The $p$ -adic monodromy theorem over algebraic-affinoid algebras

Finiteness and duality of cohomology of $(φ, Γ)$ -modules and the 6-functor formalism of locally analytic representations

$(φ, Γ)$ -modules over relatively discrete algebras