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Research talks;Combinatorics;Number Theory

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. 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 ...

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Documents 11R32 | enregistrements trouvés : 35

Unramified graph covers of finite degree Li, Winnie | CIRM H Nouveau

Braids and Galois groups Matzat, B. Heinrich | CIRM Nouveau

Differential Galois theory :workshop on ... held at the Bedlewo Mathematical Conference Center#May 28 - June 1 Crespo, Teresa ; Hajto, Zbigniew | Institute Of Mathematics;Polish Academy of Sciences 2002 Nouveau

Arithmetic fundamental groups and noncommutative algebra :1999 von Neumann conference on ... held at the Mathematical Sciences Research Institute#Aug. 16-27 Fried, Michael D. ; Ihara, Yasutaka | American Mathematical Society 2002 Nouveau

Seminar on Fermat :1993-1994 fields institute for research in mathematical sciences Murty, Vijaya Kumar | American Mathematical Society 1995 Nouveau

Nine papers from the international congress of mathematicians Bashmakova, I. G. ; Belyi, G. V. ; Gluskin, E. D. | American Mathematical Society 1990 Nouveau

Galois groups over qproceedings of a workshop held at berkeley,march 23-27,1987 Ihara, Y. ; Ribet, K. ; Serre, Jean-Pierre | Springer-Verlag 1989 Nouveau

Faithful actions of Gal($\mathbb{\bar{Q} /Q}$) and change of fundamental group Bauer, Ingrid C. | CIRM Nouveau

How to prove that Galois groups are large Serre, Jean-Pierre | CIRM H Nouveau

A conversational introduction to algebraic number theory :arithmetic beyond $\mathbb{Z}$ Pollack, Paul | American Mathematical Society 2017 Nouveau

An introduction to non-abelian class field theory:automorphic forms of weight 1 and 2-dimensional Galois representations Hiramatsu, Toyokazu ; Saito, Seiken | World Scientific 2017 Nouveau

Galois theory Stewart, Ian | CRC Press 2015 Nouveau

Non-abelian fundamental groups and Iwasawa theory Coates, John ; Kim, Minhyong ; Pop, Florian ; Saidi, Mohamed ; Schneider, Peter | Cambridge University Press 2012 Nouveau

Number theory 2.Introduction to class field theory Kato, Kazuya ; Kurokawa, Nobushige ; Saito , Takeshi ; Kuwata, Masato ; Nomizu, Katsumi | American Mathematical Society 2011 Nouveau

Topics in the Theory of Algebraic Function Fields Villa Salvador, Gabriel Daniel | Birkhäuser 2006 Nouveau

Cohomological and geometric approaches to rationality problems.New perspectives Bogomolov, Fedor ; Tschinkel, Yuri | Birkhäuser 2010 Nouveau

Moduli spaces of curves, mapping class groups and field theory Buff, Xavier ; Fehrenbach, Jérôme ; Lochak, Pierre ; Schneps, Leila | American Mathematical Society 2002 Nouveau

Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories Galoisiennes. Vol. I :volume en l'honneur de Jean-Pierre Ramis Loday-Richaud, Michele | Société Mathématique de France 2004 Nouveau

Galois theory Stewart, Ian | Chapman & Hall/CRC 2003 Nouveau

Groups as Galois groups :an introduction Völklein, Helmut | Cambridge University Press 1996 Nouveau

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Differential Galois theory :
workshop on ... held at the Bedlewo Mathematical Conference Center#May 28 - June 1 Crespo, Teresa ; Hajto, Zbigniew | Institute Of Mathematics;Polish Academy of Sciences 2002 Nouveau

Arithmetic fundamental groups and noncommutative algebra :
1999 von Neumann conference on ... held at the Mathematical Sciences Research Institute#Aug. 16-27 Fried, Michael D. ; Ihara, Yasutaka | American Mathematical Society 2002 Nouveau

Seminar on Fermat :
1993-1994 fields institute for research in mathematical sciences Murty, Vijaya Kumar | American Mathematical Society 1995 Nouveau

Galois groups over q
proceedings of a workshop held at berkeley,march 23-27,1987 Ihara, Y. ; Ribet, K. ; Serre, Jean-Pierre | Springer-Verlag 1989 Nouveau

A conversational introduction to algebraic number theory :
arithmetic beyond $\mathbb{Z}$ Pollack, Paul | American Mathematical Society 2017 Nouveau

An introduction to non-abelian class field theory:
automorphic forms of weight 1 and 2-dimensional Galois representations Hiramatsu, Toyokazu ; Saito, Seiken | World Scientific 2017 Nouveau

Number theory 2.
Introduction to class field theory Kato, Kazuya ; Kurokawa, Nobushige ; Saito , Takeshi ; Kuwata, Masato ; Nomizu, Katsumi | American Mathematical Society 2011 Nouveau

Cohomological and geometric approaches to rationality problems.
New perspectives Bogomolov, Fedor ; Tschinkel, Yuri | Birkhäuser 2010 Nouveau

Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories Galoisiennes. Vol. I :
volume en l'honneur de Jean-Pierre Ramis Loday-Richaud, Michele | Société Mathématique de France 2004 Nouveau

Groups as Galois groups :
an introduction Völklein, Helmut | Cambridge University Press 1996 Nouveau