Title: On p-adic families of admissible representations of GL_2(Q_l).
Speaker: Professor David Helm
Speaker Info: UT Austin
The local Langlands correspondence for GL_2 associates an admissible representation of GL_2(Q_l) to every Frobenius-semisimple two-dimensional representation of the Weil group W of Q_l. It is an interesting question to try to extend this correspondence to p-adic families of representations of W- that is, given a p-adic family of representations of W, construct a corresponding family of admissible representations of GL_2(Q_l). Recent work of Emerton gives a set of properties that uniquely characterise such a family. We show how to construct such families using deformation-theoretic arguments.Date: Monday, December 1, 2008