2 papers
math.NT2026
Deformation of the absolute Galois groups of number fields
Takeo Uramoto
The technical goal of this paper is to construct and study profinite monoids DG_K for number fields K such that (1) the unit group of DG_K is isomorphic to the absolute Galois grou…
math.NT2025
Absolute reconstruction of number fields from the Deligne-Ribet monoids
Takeo Uramoto
Following Cornelissen, Li, Marcolli, and Smit, this short paper proves that the field structure of a number field can be reconstructed from the pair of the Delign…