Estimées pour les valuations $p$-adiques des valeurs propres des opérateurs de Hecke

DOI10.24033/bsmf.2614zbMath1250.11055OpenAlexW1737319680MaRDI QIDQ2880698

Vincent Lafforgue

Publication date: 14 April 2012

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/139/html/smf_bull_139_455-477.php

zbMATH Keywords

Newton polygonautomorphic formsvaluationsHecke operators

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

HECKE OPERATORS AND THE COHERENT COHOMOLOGY OF SHIMURA VARIETIES, Notes on isocrystals, Rank 2 local systems, Barsotti-Tate groups, and Shimura curves, Companions on Artin stacks, On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field, On the Ramanujan conjecture for automorphic forms over function fields I. Geometry, Rank 2 local systems and abelian varieties, Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\), Higher coherent cohomology and \(p\)-adic modular forms of singular weights, Bessel \(F\)-isocrystals for reductive groups

Cites Work

• La conjecture de Weil. II
• Drinfeld shtukas and Langlands correspondence.
• La conjecture de Weil. I
• Galois representations.
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Banach-Hecke algebras and \(p\)-adic Galois representations
• Groupes de Grothendieck des schemas en groupes reductifs deployes
• Frobenius and the Hodge filtration (estimates)
• Représentations lisses <i>p</i>-tempérées des groupes <i>p</i>-adiques
• Normes invariantes et existence de filtrations admissibles
• Stable real cohomology of arithmetic groups
• Formes modulaires de poids $1$
• On the search of genuine $p$-adic modular $L$-functions for $GL(n)$. With a correction to: On $p$-adic $L$-functions of $GL(2)\times{}GL(2)$ over totally real fields
• Modular Forms and ℓ-Adic Representations
• Algèbres de Hecke quasi-ordinaires universelles
• Control theorems of $p$-nearly ordinary cohomology groups for $\text {SL} (n)$
• Frobenius and the Hodge filtration
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