Number Theory Seminar
Andrei Jorza, Caltech
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When 
Mar 19, 2013 from 03:30 PM to 04:30 PM 
Where  Phillips Hall 332 
Contact Name  Ellen Eischen 
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Title: Symmetric powers of Hilbert modular forms and padic Lfunctions.
Abstract: To a Hilbert modular form one may attach a padic analytic Lfunction interpolating certain special values of the usual Lfunction. Conjectures in the style of Mazur, Tate and Teitelbaum prescribe the order of vanishing and first Taylor coefficient of such padic Lfunctions, the first coefficient being controlled by an Linvariant which has conjectural (arithmetic) value defined by Greenberg and Benois. I will explain how to compute arithmetic Linvariants for symmetric powers of Iwahori level Hilbert modular forms using Langlands functoriality and triangulations of (phi, Gamma)modules on eigenvarieties. This is based on joint work with Robert Harron.