The trace formula and Drinfeld's upper halfplane

DOI10.1215/S0012-7094-94-07616-3zbMath0855.11061OpenAlexW2006225331MaRDI QIDQ1345238

Gerd Faltings

Publication date: 19 December 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07616-3

zbMATH Keywords

formal groups\(p\)-adic local fieldJacquet-Langlands correspondenceLefschetz trace formulaDrinfeld's symmetric space

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) (p)-adic theory, local fields (11F85) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (11)

Endomorphisms of logarithmic schemes ⋮ Speculations on the mod \(p\) representation theory of \(p\)-adic groups ⋮ LOCALLY ANALYTIC REPRESENTATIONS OF VIA SEMISTABLE MODELS OF ⋮ Lefschetz trace formula and \(\ell\)-adic cohomology of Rapoport-Zink tower for \(\mathrm{GSp}(4)\) ⋮ Cell decomposition of some unitary group Rapoport-Zink spaces ⋮ Nonabelian Lubin-Tate theory and elliptic representations ⋮ Deformation spaces of one-dimensional formal modules and their cohomology ⋮ Lubin-Tate and Drinfeld bundles ⋮ Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1 ⋮ On the Kottwitz conjecture for local shtuka spaces ⋮ An Hochschild-Serre spectral sequence for the Rapoport-Zink uniformization

Cites Work

• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Coverings of p-adic symmetric regions
• Vanishing cycles for formal schemes
• Étale cohomology for non-Archimedean analytic spaces
• Rigid geometry, Lefschetz-Verdier trace formula and Deligne's conjecture
• The cohomology of \(p\)-adic symmetric spaces
• Riemann's existence problem for a \(p\)-adic field
• Solutions d'équations à coefficients dans un anneau hensélien
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