Abstract: In the first talk, I will introduce the Fargues-Fontaince curve (associated to a non-archimedean local field E and an algebraically closed, non-archimedean complete field F) in a way that makes the relationship between étale torsion local systems and torsion Galois representations of E transparent. Then I explain the three different incarnations of the curve and recall their basic properties. In the end, I will summarize some results of Laurent Fargues on the étale cohomology of torsion étale local systems on the curve.
