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Critical p-adic L-functions for Hilbert modular forms

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Speaker: 
John Bergdall
Affiliation: 
Boston U./MPIM
Date: 
Wed, 2017-06-07 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In this talk I want to discuss the p-adic interpolation of special values of L-functions in the setting of Hilbert modular forms. The interpolating functions, called p-adic L-functions, are generally constructed under a hypothesis of "small slope" and we will explain how to extend the constructions beyond that case. The main object of our study will be the local geometry of a p-adic family of Hilbert modular forms.

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