Tomoki Mihara

activity

20132021

collaborators

3 papers

math.AG2021

Homotopy Epimorphisms and Derived Tate's Acyclicity for Commutative C*-algebras

Federico Bambozzi, Tomoki Mihara

We study homotopy epimorphisms and covers formulated in terms of derived Tate's acyclicity for commutative C*-algebras and their non-Archimedean counterparts. We prove that a homot…

math.NT2015

Galois Representations Associated to $p$ -adic Families of Modular Forms of Finite Slope

Tomoki Mihara

We define a pro- $p$ Abelian sheaf on a modular curve of a fixed level $N \geq 5$ divisible by a prime number $p \neq = 2$ . Every $p$ -adic representation of $\text{Gal}(\overline{\mat…

math.NT2013

Set Theory and p-adic Algebras

Tomoki Mihara

We verified that the existence of a maximal ideal of height 0 in a p-adic algebra in a certain class is independent of the axiom of ZFC. We established the theory on a P-point in t…

Homotopy Epimorphisms and Derived Tate's Acyclicity for Commutative C*-algebras

Galois Representations Associated to p-adic Families of Modular Forms of Finite Slope

Set Theory and p-adic Algebras

Galois Representations Associated to $p$ -adic Families of Modular Forms of Finite Slope