Number Theory

Title: On p-adic families of admissible representations of GL_2(Q_l).
Speaker: Professor David Helm
Speaker Info: UT Austin
Brief Description:
Special Note:

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
Time: 3:00PM
Where: Lunt 107
Contact Person: Florian Herzig
Contact email: herzig@math.northwestern.edu
Contact Phone: 847-467-1898
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