Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Laurent Fargues, CNRS, MCM
An arithmetic analog of the Abel Jacobi morphism
Time & Venue:
2019.12.13 16:00-17:00 N224
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.
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