An Arithmetic Analog of the Abel Jacobi Morphism

Prof. Laurent Fargues
2019-12-13 16:00-17:00
N224

Speaker: Prof. Laurent Fargues (MCM)
Title: An Arithmetic Analog of the Abel Jacobi Morphism
Time: 4:00-5:00pm, Dec 13, 2019 (NOT Thursday!)
Place: N224 (NOT MCM110!)
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.