Tomoki Mihara

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20132022

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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…

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