CIRM - Videos & books Library - Unramified graph covers of finite degree

Post-edited

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

Loading the player...

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 :

Date de publication :

Date de captation :

Sous collection :

arXiv category :

Domaine :

Format :

Durée :

Audience :

Download :

https://videos.cirm-math.fr/2016-03-30_Li.mp4

Informations sur la Rencontre

Nom de la rencontre : Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspects / Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques
Organisateurs de la rencontre : 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

Données de citation

DOI : 10.24350/CIRM.V.18951603
Citer cette vidéo: 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

Bibliographie

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

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

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

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

Li.jpg