\(\ell\)-integral nonabelian Lubin-Tate theory

DOI10.1215/00127094-1548425zbMath1260.11070arXiv1011.1887OpenAlexW1525661960MaRDI QIDQ411721

Jean-François Dat

Publication date: 30 April 2012

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

Full work available at URL: https://arxiv.org/abs/1011.1887

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) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (17)

Blocks of the category of smooth \(\ell\)-modular representations of \(\mathrm{GL}(n,F)\) and its inner forms: reduction to level 0 ⋮ The projective envelope of a cuspidal representation of a finite linear group ⋮ On non-abelian Lubin–Tate theory for ⋮ IHARA LEMMA AND LEVEL RAISING IN HIGHER DIMENSION ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ The cohomology of Lubin-Tate spaces is free ⋮ Towards a mod-p Lubin–Tate theory for GL2 over totally real fields ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\) ⋮ Hecke algebra with respect to the pro-\(p\)-radical of a maximal compact open subgroup for \(\mathrm{GL}(n,F)\) and its inner forms ⋮ THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES ⋮ Whittaker models and the integral Bernstein center for \(\mathrm{GL}_n\) ⋮ Supercuspidal representations of \(\mathrm{GL}_n(\mathrm{F})\) distinguished by a Galois involution ⋮ Potentially good reduction loci of Shimura varieties ⋮ Unnamed Item ⋮ Supercuspidal representations of $\mathrm{GL}_{n}(F)$ distinguished by a unitary involution ⋮ Local Jacquet-Langlands corespondence and congruences modulo \(\ell\)

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