Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers

DOI10.4171/JNCG/11-1-1zbMath1429.14003arXiv1411.3223MaRDI QIDQ528831

Matilde Marcolli, Gonçalo Tabuada

Publication date: 16 May 2017

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3223

zbMATH Keywords

zeta functionpolylogarithmsmotivesGibbs statesWeil restrictionTannakian categoriesquantum statistical mechanical systemsWeil numbers

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Quantum equilibrium statistical mechanics (general) (82B10) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (4)

Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting) ⋮ \(q\)-deformations of statistical mechanical systems and motives over finite fields ⋮ Homotopy types and geometries below Spec(ℤ) ⋮ Quantum statistical mechanics in arithmetic topology

Cites Work

• Unnamed Item
• Unnamed Item
• Chow motives versus noncommutative motives
• KMS states and complex multiplication
• Cyclotomy and endomotives
• Noncommutative geometry, quantum fields and motives
• Fun with \(\mathbb F_1\)
• Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
• Noncommutative geometry and motives: the thermodynamics of endomotives
• Endomotives of toric varieties
• The Weil Proof and the Geometry of the Adelès Class Space

This page was built for publication: Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers