P-Adic Aspects of Modular Forms

ISBN-13: 9789814719223 / Angielski / Twarda / 2016 / 344 str.

Jacques Tilouine; A. Raghuram; Baskar Balasubramanyam

Opis

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).