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On p-Adic L-functions for Hilbert modular forms / John Bergdall, David Hansen

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 298, number 1489 (June 2024)Publisher: Providence : American Mathematical Society, June 2024Description: v, 125 SeitenISBN:
  • 9781470470319
Subject(s): Additional physical formats: 9781470478551 | Erscheint auch als: On. Online-Ausgabe 1st ed. Providence : American Mathematical Society, 2024. 1 online resource (138 pages) | Erscheint auch als: On p-Adic L-functions for Hilbert modular forms. Online-Ausgabe Providence : American Mathematical Society, 2024. 1 Online-Ressource (v, 125 Seiten)MSC: MSC: 11F67 | 11F85 | 11F41 | 11F03 | 11F80 | 11F33RVK: RVK: SI 130LOC classification:
  • QA241
Summary: Abstract: We construct p-adic L-functions associated with p-refined cohomological cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our construction is canonical, varies naturally in p-adic families, and does not require any small slope or non-criticality assumptions on the p-refinement. The main new ingredients are an adelic definition of a canonical map from overconvergent cohomology to a space of locally analytic distributions on the relevant Galois group, and a smoothness theorem for certain eigenvarieties at critically refined points.PPN: PPN: 1900874997
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-298.2024,1489 Nicht ausleihbar
Total holds: 0
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