Conjecture de monodromie-poids pour quelques variétés de Shimura unitaires

DOI10.1112/S0010437X09004588zbMath1206.14045WikidataQ123236289 ScholiaQ123236289MaRDI QIDQ3552178

Pascal Boyer

Publication date: 13 April 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Shimura varietiesvanishing cyclesLanglands correspondenceformal modulesperverse sheavesJacquet-Langlands correspondencemonodromy filtration : monodromy-weight conjecture

Mathematics Subject Classification ID

Geometric class field theory (11G45) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22) Formal groups, (p)-divisible groups (14L05) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (6)

Perfectoid spaces ⋮ IHARA LEMMA AND LEVEL RAISING IN HIGHER DIMENSION ⋮ Galois irreducibility implies cohomology freeness for KHT Shimura varieties ⋮ Mazur's principle in higher dimension ⋮ Automorphic congruences and torsion in the cohomology of Harris-Taylor local systems ⋮ Unnamed Item

Cites Work

• Bad reduction of Drinfeld varieties and local Langlands correspondence
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• Monodromy of perverse sheaves on vanishing cycles on some Shimura varieties
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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