By Winnie Li
Appears in collections : Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspects / Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques, Exposés de recherche
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.
By Ana Caraiani
By Valentin Ovsienko
![[1239] The geometrization of the local Langlands correspondence, after Fargues and Scholze](/media/cache/video_light/uploads/video/Bourbaki.png)
