On $p$-Adic $L$-Functions for Hilbert Modular Forms (Memoirs of the American Mathematical Society)

Bergdall, John/ Hansen, David

American Mathematical Society（2024/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 125 p.
• 言語 ENG
• 商品コード 9781470470319

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Contents

1. Introduction
2. Cohomology and local systems
3. Hilbert modular forms
4. Algebraicity of special values
5. Locally analytic distributions and $p$-adic weights
6. The eigenvariety
7. Period maps
8. $p$-adic $L$-functions
A. A deformation calculation
B. Decency