103
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Laurent Fargues

2010-07-15
09:00:00 - 10:20:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

Given an algebraically closed complete valued field of characteristic p, we construct a curve over Qp and classify vector bundles on it. To some objects in p-adic Hodge theory we associate Galois equivariant vector bundles on this curve. As a particular case of the classification of vector bundles on this curve we find back the two main theorems of p-adic Hodge theory: weakly admissible is equivalent to admissible and De Rham implies potentially semi-stable. This is joint work with Jean-Marc Fontaine.