Noncommutative geometry and arithmetics

DOI10.1134/S1061920809030030zbMath1238.11086OpenAlexW2076650860MaRDI QIDQ1033861

J. Blot

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920809030030

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of number theory (11Z05) Adèle rings and groups (11R56) Relations with noncommutative geometry (11M55)

Cites Work

• KMS states and complex multiplication
• Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• A short survey of noncommutative geometry
• An elementary introduction to the Langlands program
• Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory
• Basic noncommutative geometry
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