Yutaro Mikami

activity

20232026

collaborators

5 papers

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.AG2025

On the relative Nullstellensatz in nonarchimedean geometry

Kiran S. Kedlaya, Yutaro Mikami

We establish a relative version of the Nullstellensatz for algebras topologically of finite type over a given Banach Tate ring $A$ , under the assumption that the corresponding stat…

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…

math.AG2023

Fppf-descent for condensed animated rings

Yutaro Mikami

In this paper, we define "animated affinoid algebras" and prove some basic properties of them. Then we generalize the result of the previous paper of the author and the result of L…

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

On the relative Nullstellensatz in nonarchimedean geometry

(φ,Γ)-modules over relatively discrete algebras

Fppf-descent for condensed animated rings

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