Quantum Statistical Mechanics of the Absolute Galois Group

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dc.contributor.authorManin, Yuri I.
dc.contributor.authorMarcolli, Matilde
dc.date.accessioned2025-12-15T15:26:58Z
dc.date.issued2020
dc.description.abstractWe 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 involution.
dc.description.sponsorshipThe second-named author is partially supported by NSF grant DMS-1707882, and by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement grant RGPAS-2018-522593. We thank the anonymous referees for several very useful comments that significantly improve the paper, and Lieven Le Bruyn for his suggestions in a series of emails that helped us to avoid ambiguities.
dc.identifier.citationQuantum Statistical Mechanics of the Absolute Galois Group. Yuri I. Manin and Matilde Marcolli. SIGMA 16 (2020), 038, 52 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.038
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 11G32; 11M55; 11R32; 82B10; 82C10; 58B34
dc.identifier.otherarXiv:1907.13545
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210712
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleQuantum Statistical Mechanics of the Absolute Galois Group
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік