Guido Bosco (MPI Bonn): On the p-adic monodromy theorem

I will present a new geometric perspective on the p-adic monodromy theorem of André, Kedlaya, and Mebkhout, which is based on the study of vector bundles on the analytic de Rham stack of the Fargues–Fontaine curve. I will then outline some applications to the p-adic Hodge theory of rigid-analytic varieties.

This is based on joint work in progress with Anschütz, Le Bras, and Rodriguez Camargo.

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