\(p\)-adic \(L\)-functions and unitary completions of representations of \(p\)-adic reductive groups

zbMath1092.11024MaRDI QIDQ816345

Matthew Emerton

Publication date: 10 March 2006

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

Full work available at URL: https://projecteuclid.org/euclid.dmj/1132064630

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Locally algebraic vectors in the Breuil-Herzig ordinary part, \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions, First covering of the Drinfel'd upper half-plane and Banach representations of \(\mathrm{GL}_2(\mathbb Q_p)\), Quantization and motion law for Ginzburg-Landau vortices, Existence of invariant norms in \(p\)-adic representations of \(\mathrm{GL}_2(F)\) of large weights, The image of Colmez's Montreal functor, Kirillov models and integral structures in \(p\)-adic smooth representations of \(\mathrm{GL}_2(F)\), Existence of invariant norms for \(\mathrm{GL}_2\), Automorphic \(\mathcal{L} \)-invariants for reductive groups, A note on critical \(p\)-adic \(L\)-functions, On the Breuil-Mézard conjecture, On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms, Ginzburg-Landau vortex dynamics with pinning and strong applied currents, Sur certains complétés unitaires universels explicites pour $GL_2(F)$, Filtered modules with coefficients, Dynamics of multiple degree Ginzburg-Landau vortices, Unitary completions of locally algebraic and locally analytic principal series of p-adic GL2, Simple ℒ-invariants for GL_{𝓃}, A control theorem for \(p\)-adic automorphic forms and Teitelbaum's \(\mathcal{L} \)-invariant, Finiteness properties of the category of mod p representations of

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