Let Q_p be the field of p-adic numbers. The p-adic Langlands correspondence puts actions of the bewildering absolute Galois group G of Q_p on an n-dimensional p-adic vector space in correspondence with actions of the straightforward general linear group GL_n(Q_p) on a usually infinite-dimensional p-adic vector space. Among all such actions of G, most explicit are the _crystalline_ actions. We review the functor (by Berger and Breuil) that sends such a 2-dimensional crystalline action to a unitary action of GL_2(Q_p) on a quotient space of differentiable functions.
Freitag, den 17. Juni 2016 um 13:30 Uhr, in INF205, SR C Freitag, den 17. Juni 2016 at 13:30, in INF205, SR C
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Gebhard Böckle