MSC2020 · 11Sxx

Algebraic number theory: local fields

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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

11S05Polynomials0 11S15Ramification and extension theory0 11S20Galois theory1 11S23Integral representations0 11S25Galois cohomology0 11S31Class field theory;

p

-adic formal groups0 11S37Langlands-Weil conjectures, nonabelian class field theory0 11S40Zeta functions and

L

-functions0 11S45Algebras and orders, and their zeta functions0 11S70

K

-theory of local fields0 11S80Other analytic theory (analogues of beta and gamma functions,

p

-adic integration, etc.)0 11S82Non-Archimedean dynamical systems0 11S85Other nonanalytic theory0 11S90Prehomogeneous vector spaces0 11S99Algebraic number theory: local fields0

Mapped problems

OP-11979Number theorySolved

A Presentation of the Absolute Galois Group of $\mathbb{Q}_2$

A Presentation of the Absolute Galois Group of mathbb Q 2 . Solid result problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.

Epoch AI — FrontierMath: Open Problems· Licensed source statement· 2026

Journals & articles in MSC 11

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

Algebra & Number Theory ↗

Mathematical Sciences Publishers

Algebra, number theory and their connections

EMS Surveys in Mathematical Sciences ↗

European Mathematical Society / EMS Press

Mathematical surveys

Current trends and open problems in arithmetic dynamics
2019 · 3 questions extracted

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Subcategories

Mapped problems

A Presentation of the Absolute Galois Group of Q2\mathbb{Q}_2Q2​

Journals & articles in MSC 11

A Presentation of the Absolute Galois Group of $\mathbb{Q}_2$