Universal Thickening of the Field of Real Numbers

DOI10.1007/978-1-4939-3201-6_2zbMath1387.11086arXiv1202.4377OpenAlexW2426678946MaRDI QIDQ2808217

Caterina Consani, Alain Connes

Publication date: 20 May 2016

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4377

zbMATH Keywords

Gelfand spectrumArchimedean Witt constructionTeichmüller liftsuniversal thickening

Mathematics Subject Classification ID

Related Items (14)

Boolean Witt vectors and an integral Edrei-Thoma theorem ⋮ An equivalence between two approaches to limits of local fields ⋮ Hyperfield Grassmannians ⋮ Tropical geometry over the tropical hyperfield ⋮ \(\mathbb{F}_{1}\) for everyone ⋮ A classification of the commutative Banach perfect semi-fields of characteristic 1: applications ⋮ Algebraic geometry over hyperrings ⋮ Free hypermodules: a categorical approach ⋮ Geometry of hyperfields ⋮ The Riemann–Roch strategy ⋮ Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields ⋮ Unnamed Item ⋮ Analytic geometry over \(\mathbb{F}_1\) and the Fargues-Fontaine curve ⋮ Projective geometry in characteristic one and the epicyclic category

Cites Work

• The arithmetic site
• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Stokes' phenomenon; smoothing a Victorian discontinuity
• Absolute derivations and zeta functions
• Characteristic one, entropy and the absolute point
• The Witt construction in characteristic one and Quantization
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Operational Calculus and Related Topics
• The hyperring of adèle classes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Universal Thickening of the Field of Real Numbers