## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Symmetric powers of Hilbert modular forms and p-adic L-functions

**Speaker:** Andrei Jorza

**Speaker Info:** Caltech

**Brief Description:**

**Special Note**:

**Abstract:**

To a Hilbert modular form one may attach a p-adic analytic L-function
interpolating certain special values of the usual L-function. Conjectures in the style of Mazur, Tate and Teitelbaum prescribe the order of vanishing and first Taylor coefficient of such p-adic L-functions, the first
coefficient being controlled by an L-invariant which has conjectural
(arithmetic) value defined by Greenberg and Benois. I will explain how to compute arithmetic L-invariants 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.

**Date:** Monday, January 7, 2013

**Time:** 3:00PM

**Where:** Lunt 107

**Contact Person:** Simon Marshall

**Contact email:** slm@math.northwestern.edu

**Contact Phone:** 847-467-0715

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