Title: p-adic interpolation and p-adic Jacquet-Langlands
Speaker: Matthew Greenberg
Speaker Info: Calgary
Special Note: The speaker will give a preseminar talk for graduate students at 11 am in 232 Seabury. The title is "Exceptional zeroes and arithmetic."
In this talk, I will discuss an application of a p-adic Jacquet-Langlands correspondence to the construction of a p-adic L-function associated to a Coleman family of eigenforms and a real quadratic field. These p-adic L-functions exhibit interesting exceptional vanishing phenomena. We will state some theorems and conjectures relating derivatives of these p-adic L-functions to elements of Bloch-Kato Selmer groups in this setting. This is joint work with Marco Seveso.Date: Monday, January 31, 2011