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# Documents  11R32 | enregistrements trouvés : 4

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## Post-edited  Unramified graph covers of finite degree Li, Winnie (Auteur de la Conférence) | CIRM (Editeur )

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,
(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,
(c) Chebotarev density ...

## Post-edited  Braids and Galois groups Matzat, B. Heinrich (Auteur de la Conférence) | CIRM (Editeur )

arithmetic fundamental group - Galois theory - braid groups - rigid analytic geometry - rigidity of finite groups

## Multi angle  Faithful actions of Gal($\mathbb{\bar{Q} /Q}$) and change of fundamental group Bauer, Ingrid C. (Auteur de la Conférence) | CIRM (Editeur )

hyperelliptic curves - Belyi functions - absolute Galois group - Belyi polynomials - marked varieties - moduli spaces

## Multi angle  How to prove that Galois groups are "large" Serre, Jean-Pierre (Auteur de la Conférence) | CIRM (Editeur )

The Galois groups of the title are those which are associated with elliptic curves over number fields; I shall explain the methods which were introduced in the 1960's in order to prove that they are large, and the questions about them which are still open fifty years later.
Galois - elliptic - l-adic - Tate - proofs

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