Arithmetic Teichmuller Theory

zbMath1456.11095arXiv1506.01956MaRDI QIDQ4964835

Arash Rastegar

Publication date: 4 March 2021

Full work available at URL: https://arxiv.org/abs/1506.01956

zbMATH Keywords

arithmetic Teichmüller theoryGrothendieck's anabelian conjecturesouter Galois representations

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Galois representations (11F80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple presentation for the mapping class group of an orientable surface
• Profinite braid groups, Galois representations and complex multiplications
• A presentation for the mapping class group of a closed orientable surface
• Isomorphisms of Galois groups
• On some derivations of Lie algebras related to Galois representations
• Ring-theoretic properties of certain Hecke algebras
• Coupling of universal monodromy representations of Galois-Teichmüller modular groups
• On the descending central series of groups with a single defining relation
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• On Homeomorphisms of a 3-Dimensional Handlebody
• Completeness of the absolute Galois group of the rational number field
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}