Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 038, 52 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.038 (Mi sigma1575) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quantum Statistical Mechanics of the Absolute Galois Group

Yuri I. Manina, Matilde Marcollibcd

a Max Planck Institute for Mathematics, Bonn, Germany
b University of Toronto, Toronto, Canada
c Perimeter Institute for Theoretical Physics, Waterloo, Canada
d California Institute of Technology, Pasadena, USA
Full-text PDF (801 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2020.038
Abstract: 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 involution.
Keywords: quantum statistical mechanics, dessins d'enfant, absolute Galois group, Drinfeld–Ihara involution, quasi-triangular quasi-Hopf algebras.
Funding agency Grant number
National Science Foundation DMS-1707882
Natural Sciences and Engineering Research Council of Canada (NSERC) RGPIN-2018-04937
RGPAS-2018-522593
The 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.
Received: August 1, 2019; in final form April 15, 2020; Published online May 5, 2020
Bibliographic databases:
Document Type: Article
MSC: 11G32, 11M55, 11R32, 82B10, 82C10, 58B34
Language: English
Citation: Yuri I. Manin, Matilde Marcolli, “Quantum Statistical Mechanics of the Absolute Galois Group”, SIGMA, 16 (2020), 038, 52 pp.
Citation in format AMSBIB
\Bibitem{ManMar20}
\by Yuri~I.~Manin, Matilde~Marcolli
\paper Quantum Statistical Mechanics of the Absolute Galois Group
\jour SIGMA
\yr 2020
\vol 16
\papernumber 038
\totalpages 52
\mathnet{http://mi.mathnet.ru/sigma1575}
\crossref{https://doi.org/10.3842/SIGMA.2020.038}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000530351000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85084845154}
Linking options:
  • https://www.mathnet.ru/eng/sigma1575
  • https://www.mathnet.ru/eng/sigma/v16/p38
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024