English
Unramified graph covers of finite degree
Post-edited
Auteurs : Li, Winnie (Auteur de la Conférence)
CIRM (Editeur )
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
CIRM (Editeur )
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 : (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.
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
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 13/04/16 Date de captation : 30/03/2016 Sous collection : Research talks arXiv category : Number Theory ; Combinatorics Domaine : Combinatorics ; Number Theory Format : MP4 (.mp4) - HD Durée : 00:47:11 Audience : Researchers Download : https://videos.cirm-math.fr/2016-03-30_Li.mp4 
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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 algorithmiquesOrganisateurs 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.18951603Citer 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 |
Voir aussi
- [Multi angle] Generators of elliptic curves over finite fields / Auteur de la Conférence Voloch, José Felipe.
- [Multi angle] Class number statistics for imaginary quadratic fields / Auteur de la Conférence Kurlberg, Pär.
- [Multi angle] Primes, exponential sums, and L-functions / Auteur de la Conférence Banks, William.
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
