On $p$-Adic $L$-Functions for Hilbert Modular Forms

John Bergdall, David Hansen (Autoren)

Buch | Softcover

125 Seiten

2024
American Mathematical Society (Verlag)
978-1-4704-7031-9 (ISBN)

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Immerse in a realm where extensive, peer-reviewed research papers on pure and applied mathematics converge into carefully grouped volumes. This series delivers rigorous insights and in-depth analysis, sparking scholarly discussion and illuminating complex, thought-provoking concepts throughout.

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.

John Bergdall, Bryn Mawr College, PA, and David Hansen, Max Planck Institute for Mathematics, Bonn, Germany.

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

Erscheinungsdatum	26.03.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-4704-7031-4 / 1470470314
ISBN-13	978-1-4704-7031-9 / 9781470470319
Zustand	Neuware