Quantum Statistical Mechanics of the Absolute Galois Group

We present possible extensions of the quantum statistical mechanical formulation of class field theory to the non-abelian case, based on the action of the absolute Galois group on Grothendieck's dessins d'enfant, the embedding in the Grothendieck-Teichmüller group, and the Drinfeld-Ihara i...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Manin, Yuri I., Marcolli, Matilde
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210712
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quantum Statistical Mechanics of the Absolute Galois Group. Yuri I. Manin and Matilde Marcolli. SIGMA 16 (2020), 038, 52 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine