Cuspidal representations in the cohomology of Deligne-Lusztig varieties for \(\mathrm{GL}(2)\) over finite rings

DOI10.1007/s11856-018-1717-xzbMath1400.20040OpenAlexW2806726302MaRDI QIDQ1659551

Tetsushi Ito, Takahiro Tsushima

Publication date: 22 August 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-018-1717-x

zbMATH Keywords

unramified representationsetale cohomologylocal LanglandsDeligne-Lusztig varietiesLubin-Tate Curves

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Curves over finite and local fields (11G20) Étale and other Grothendieck topologies and (co)homologies (14F20) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Semistable models for modular curves of arbitrary level
• On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case
• Extended Deligne-Lusztig varieties for general and special linear groups.
• The local Jacquet-Langlands correspondence via Fourier analysis
• Representations of automorphism groups of finite \(\mathfrak o\)-modules of rank two.
• Stable reduction of \(X_0(p^3)\). With an Appendix by Everett W. Howe
• Representations of reductive groups over finite fields
• 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
• Gauss sums and p-adic division algebras
• The algebraisation of higher Deligne-Lusztig representations
• Affine Deligne-Lusztig varieties of higher level and the local Langlands correspondence for \(\mathrm{GL}_2\)
• STABLE MODELS OF LUBIN–TATE CURVES WITH LEVEL THREE
• Maximal varieties and the local Langlands correspondence for 𝐺𝐿(𝑛)
• The Smooth Representations of GL₂(𝔒)
• On cuspidal representations of general linear groups over discrete valuation rings
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