Deformation spaces of one-dimensional formal modules and their cohomology

DOI10.1016/j.aim.2007.07.005zbMath1140.22017arXivmath/0611109OpenAlexW1974251354MaRDI QIDQ2469876

Matthias Strauch

Publication date: 11 February 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611109

zbMATH Keywords

local Langlands correspondencerigid analytic geometryJacquet-Langlands correspondenceLubin-Tate spacesLefschetz trace formulaDrinfeld level structures

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Related Items (21)

On the Iwasawa theory of the Lubin–Tate moduli space ⋮ Semistable models for modular curves of arbitrary level ⋮ Speculations on the mod \(p\) representation theory of \(p\)-adic groups ⋮ \(\ell\)-integral nonabelian Lubin-Tate theory ⋮ Admissible \(\varphi \)-modules and \(p\)-adic unitary representations ⋮ Locally analytic representations in the étale coverings of the Lubin-Tate moduli space ⋮ Lefschetz trace formula and \(\ell\)-adic cohomology of Rapoport-Zink tower for \(\mathrm{GSp}(4)\) ⋮ STABLE MODELS OF LUBIN–TATE CURVES WITH LEVEL THREE ⋮ Non-cuspidality outside the middle degree of \(\ell \)-adic cohomology of the Lubin-Tate tower ⋮ On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case ⋮ Cell decomposition of some unitary group Rapoport-Zink spaces ⋮ PARITY OF THE LANGLANDS PARAMETERS OF CONJUGATE SELF-DUAL REPRESENTATIONS OF AND THE LOCAL JACQUET–LANGLANDS CORRESPONDENCE ⋮ Symmetric Drinfeld space and local Langlands correspondence. I ⋮ Affinoids in Lubin-Tate surfaces with exponential full level two ⋮ Tate modules of universal p-divisible groups ⋮ Lubin-Tate deformation spaces and fields of norms ⋮ Galois actions on torsion points of one-dimensional formal modules ⋮ Lubin-Tate and Drinfeld bundles ⋮ Unnamed Item ⋮ On the Kottwitz conjecture for local shtuka spaces ⋮ The local Langlands correspondence for \(\mathrm{GL}_n\) over function fields

Cites Work

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