Megumi Takata

activity

20122019

collaborators

3 papers

math.NT2019

On a relation of overconvergence and $F$ -analyticity on $p$ -adic Galois representations of a $p$ -adic field $F$

Megumi Takata

Let $p$ be a prime number. There are properties called ``overconvergence'' and `` $F$ -analyticity'' for $p$ -adic Galois representations of a $p$ -adic field $F$ . By Berger's work, it…

math.NT2015

The infinite base change lifting associated to an APF extension of a $p$ -adic field

Megumi Takata

In this paper, the author proved that the base change lifting associated to a totally ramified extension of a non-archimedean local field coincides with a map coming from the close…

math.AG2012

Deligne's conjecture on the Lefschetz trace formula for $p^{n}$ -torsion étale cohomology

Megumi Takata

Deligne's conjecture is the Lefschetz trace formula for correspondences defined over a finite field. In this paper, we prove an analogous statement of Deligne's conjecture with res…

On a relation of overconvergence and F-analyticity on p-adic Galois representations of a p-adic field F

The infinite base change lifting associated to an APF extension of a p-adic field

Deligne's conjecture on the Lefschetz trace formula for pn-torsion étale cohomology

On a relation of overconvergence and $F$ -analyticity on $p$ -adic Galois representations of a $p$ -adic field $F$

The infinite base change lifting associated to an APF extension of a $p$ -adic field

Deligne's conjecture on the Lefschetz trace formula for $p^{n}$ -torsion étale cohomology