On the étale cohomology of the Fargues-Fontaine curve
报告人:SEBASTIAN PAUL HERMANN BARTLING (Universität Duisburg-Essen)
时间:2023-05-16 09:00-10:00
地点:Room 1114, Sciences Building No. 1
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.