Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Laurent Fargues, CNRS, MCM | Inviter: | | Title: | An arithmetic analog of the Abel Jacobi morphism | Time & Venue: | 2019.12.13 16:00-17:00 N224 | Abstract: | Global class field theory for function fields can be deduced from the fact that, in high degree, the Abel Jacobi morphism of a proper smooth algebraic curve is a locally trivial fibration in simply connected varieties. I will explain a similar statement in the framework of my geometrisation conjecture of the local Langlands correspondence. Here the curve is the one I defined and studied in my joint work with Fontaine. | | | |