Winnie Li: Unramified graph covers of finite degree

Abstract: 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.

Recording during the thematic meeting: "Dynamics and Graphs over Finite Fields: Algebraic, Number Theoretic and Algorithmic Aspects" the March 30, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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