| Author: | Baskar Balasubramanyam, Haruzo Hida, A Raghuram;Jacques Tilouine | ISBN: | 9789814719247 |
| Publisher: | World Scientific Publishing Company | Publication: | June 14, 2016 |
| Imprint: | WSPC | Language: | English |
| Author: | Baskar Balasubramanyam, Haruzo Hida, A Raghuram;Jacques Tilouine |
| ISBN: | 9789814719247 |
| Publisher: | World Scientific Publishing Company |
| Publication: | June 14, 2016 |
| Imprint: | WSPC |
| Language: | English |
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).
Contents:
- An Overview of Serre's p-Adic Modular Forms (Miljan Brakočević and R Sujatha)
- p-Adic Families of Ordinary Siegel Cusp Forms (Jacques Tilouine)
- Ordinary Families of Automorphic Forms on Definite Unitary Groups (Baskar Balasubramanyam and Dipramit Majumdar)
- Notes on Modularity Lifting in the Ordinary Case (David Geraghty)
- p-Adic L-Functions for Hilbert Modular Forms (Mladen Dimitrov)
- Arithmetic of Adjoint L-Values (Haruzo Hida)
- p-Adic L-Functions for GLn (Debargha Banerjee and A Raghuram)
- Non-Triviality of Generalised Heegner Cycles Over Anticyclotomic Towers: A Survey (Ashay A Burungale)
- The Euler System of Heegner Points and p-Adic L-Functions (Ming-Lun Hsieh)
- Non-Commutative q-Expansions (Mahesh Kakde)
Readership: Researchers in algebra and number theory.
Key Features:
- Articles by some of the foremost experts in the field
- Includes down-to-earth exposition of the p-adic arithmetic theory to initiate learning by graduate students
- Contains cutting-edge material for professional researchers
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).
Contents:
- An Overview of Serre's p-Adic Modular Forms (Miljan Brakočević and R Sujatha)
- p-Adic Families of Ordinary Siegel Cusp Forms (Jacques Tilouine)
- Ordinary Families of Automorphic Forms on Definite Unitary Groups (Baskar Balasubramanyam and Dipramit Majumdar)
- Notes on Modularity Lifting in the Ordinary Case (David Geraghty)
- p-Adic L-Functions for Hilbert Modular Forms (Mladen Dimitrov)
- Arithmetic of Adjoint L-Values (Haruzo Hida)
- p-Adic L-Functions for GLn (Debargha Banerjee and A Raghuram)
- Non-Triviality of Generalised Heegner Cycles Over Anticyclotomic Towers: A Survey (Ashay A Burungale)
- The Euler System of Heegner Points and p-Adic L-Functions (Ming-Lun Hsieh)
- Non-Commutative q-Expansions (Mahesh Kakde)
Readership: Researchers in algebra and number theory.
Key Features:
- Articles by some of the foremost experts in the field
- Includes down-to-earth exposition of the p-adic arithmetic theory to initiate learning by graduate students
- Contains cutting-edge material for professional researchers
