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Post-edited Unramified graph covers of finite degree

Auteurs : Li, Winnie (Auteur de la Conférence)
CIRM (Editeur )

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unramified covers Galois theory of graphs fundamental group primes of graphs characterization of normal covers Cebotarev density theorem isospectrality for numbers fields isospectral graphs

Résumé : Given a finite connected undirected graph $X$, its fundamental group plays the role of the absolute Galois group of $X$. The familiar Galois theory holds in this setting. In this talk we shall discuss graph theoretical counter parts of several important theorems for number fields. Topics include
(a) Determination, up to equivalence, of unramified normal covers of $X$ of given degree,
(b) Criteria for Sunada equivalence,
(c) Chebotarev density theorem.
This is a joint work with Hau-Wen Huang.

Codes MSC :
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.)
05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
11R32 - Galois theory
11R44 - Distribution of prime ideals
11R45 - Density theorems

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 13/04/16
    Date de captation : 30/03/16
    Collection : Research talks
    Format : MP4 (.mp4) - HD
    Durée : 00:47:11
    Domaine : Combinatorics ; Number Theory
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : http://videos.cirm-math.fr/2016-03-30_Li.mp4

Informations sur la rencontre

Nom du congrès : Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspects / Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques
Organisteurs Congrès : Chang, Mei-Chu ; von zur Gathen, Joachim ; Ostafe, Alina ; Pappalardi, Francesco
Dates : 29/03/16 - 02/04/16
Année de la rencontre : 2016
URL Congrès : http://conferences.cirm-math.fr/1391.html

Citation Data

DOI : 10.24350/CIRM.V.18951603
Cite this video as: Li, Winnie (2016). Unramified graph covers of finite degree. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18951603
URI : http://dx.doi.org/10.24350/CIRM.V.18951603

Voir aussi

Bibliographie

  1. Cassels, J.W.S. (Ed.), & Fröhlich, A. (Ed.). (2010). Algebraic number theory. London: London Mathematical Society -

  2. Huang, H-W., & Li, W. Unramified graph covers of finite degree, preprint, 2015 -

  3. Somodi, M. (2015). On Sunada equivalent graph coverings. Journal of Combinatorics and Number Theory, 7(2) -

  4. A. Terras, Zeta Functions of Graphs: A Stroll through the Garden. Cambridge Studies in Advanced Mathematics, vol. 128 (2010) - http://bibli.cirm-math.fr/Record.htm?idlist=1&record=19271403124910996859



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