P-adic aspects of modular forms
著者
書誌事項
P-adic aspects of modular forms
World Scientific, c2016
- : hardcover
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注記
Includes bibliographical references
内容説明・目次
内容説明
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).
目次
- An 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)
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