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OverviewThe 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). Full Product DetailsAuthor: Baskar Balasubramanyam (Indian Inst Of Science Education & Research Pune, India) , A Raghuram (Indian Inst Of Science Education & Research Pune, India) , Jacques Tilouine (Univ Paris 13, France) , Haruzo Hida (Univ Of California, Los Angeles, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.10cm Weight: 0.635kg ISBN: 9789814719223ISBN 10: 9814719226 Pages: 344 Publication Date: 05 August 2016 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsAn Overview of Serre's p-Adic Modular Forms (Miljan Brakocevic and R Sujatha); p-Adic Families of Ordinary Siegel Cusp Forms (Jacques Tilouine); Ordinary Families on Definite Unitary Groups (Baskar Balasubramanyam and Dipramit Majumdar); Modularity Lifting Theorems for Ordinary Galois Representations (David Geraghty); p-Adic L-Functions for GL(2) (Mladen Dimitrov); Arithmetic of Adjoint L-Values (Haruzo Hida); p-Adic L-Functions for GL(n) (Debargha Banerjee and A Raghuram); Non-Triviality of Generalised Heegner Cycles Over Anticyclotomic Towers: A Survey (Ashay Burungale); The Euler System of Heegner Points and p-Adic L-Functions (Ming-Lun Hsieh); Non-Commutative q-Expansions (Mahesh Kakde);ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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