Pure Maths Colloquium: Local geometric Galois representations
22 January 2018 16:00 in CM221
Let p be a prime number. Abelian varieties over the local field Q_p furnish an important class of p-adic representations of the absolute Galois group of Q_p, obtained from the Galois action on p^n-torsion points. Fontaine's p-adic Hodge theory provides an appropriate setting for describing such representations, highlighting their geometric properties. We show that these properties actually characterise the representations coming from abelian varieties over Q_p that acquire good reduction over a tame extension.
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