P-ADIC ASPECTS OF MODULAR FORMS

P-ADIC ASPECTS OF MODULAR FORMS

Auteur: Baskar Balasubramanyam, A Raghuram, Jacques Tilouine, Haruzo Hida
Éditeur: World Scientific Publishing Company
Année de publication: 2016
ISBN: 9789814719223

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The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).

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