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Displaying 21 – 40 of 271

Analytic continuation of representations and estimates of automorphic forms.

Bernstein, Joseph, Reznikov, Andre (1999)

Annals of Mathematics. Second Series

Appendix: A refinement of the strong multiplicity one theorem for GL(2). (Appendix to R. Taylor).

Dinakar Ramakrishnan (1994)

Inventiones mathematicae

Artin $L$ -functions and normalization of intertwining operators

C. David Keys, Freydoon Shahidi (1988)

Annales scientifiques de l'École Normale Supérieure

Asymptotic values of modular multiplicities for ${GL}_{2}$

Sandra Rozensztajn (2014)

Journal de Théorie des Nombres de Bordeaux

We study the irreducible constituents of the reduction modulo $p$ of irreducible algebraic representations $V$ of the group ${Res}_{K / ℚ_{p}} {GL}_{2}$ for $K$ a finite extension of $ℚ_{p}$ . We show that asymptotically, the multiplicity of each constituent depends only on the dimension of $V$ and the central character of its reduction modulo $p$ . As an application, we compute the asymptotic value of multiplicities that are the object of the Breuil-Mézard conjecture.

Automorphic forms

R. W. Bruggeman (1985)

Banach Center Publications

Automorphic forms, hyperfunction cohomology, and period functions.

Roelof W. Bruggeman (1997)

Journal für die reine und angewandte Mathematik

Automorphic Forms on Covering Groups of GL(2).

Yuval Z. Flicker (1980)

Inventiones mathematicae

Automorphic forms on $PGSp (2)$ .

Flicker, Yuval Z. (2004)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Automorphic realization of residual Galois representations

Robert Guralnick, Michael Harris, Nicholas M. Katz (2010)

Journal of the European Mathematical Society

We show that it is possible in rather general situations to obtain a finite-dimensional modular representation $ρ$ of the Galois group of a number field $F$ as a constituent of one of the modular Galois representations attached to automorphic representations of a general linear group over $F$ , provided one works “potentially.” The proof is based on a close study of the monodromy of the Dwork family of Calabi–Yau hypersurfaces; this in turn makes use of properties of rigid local systems and the classification...

Automorphic representations and Lefschetz numbers

Jürgen Rohlfs, Birgit Speh (1989)

Annales scientifiques de l'École Normale Supérieure

Barnes' identities and representations of GL (2). II. Nonarchimedian local field case.

Wen-Ch'ing Winnie Li (1983)

Journal für die reine und angewandte Mathematik

Bounding hyperbolic and spherical coefficients of Maass forms

Valentin Blomer, Farrell Brumley, Alex Kontorovich, Nicolas Templier (2014)

Journal de Théorie des Nombres de Bordeaux

We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.

Branching laws for some unitary representations of $SL (4, ℂ)$ .

Ørsted, Bent, Speh, Birgit (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Central Characters for Smooth Irreducible Modular Representations of ${G L}_{2} (Q_{p})$

Laurent Berger (2012)

Rendiconti del Seminario Matematico della Università di Padova

Changements de base explicites des représentations supercuspidales de $U (1, 1) (F_{0})$

Laure Blasco (2010)

Annales de l’institut Fourier

Soit $F_{0}$ un corps local non archimédien de caractéristique nulle et de caractéristique résiduelle impaire. On décrit explicitement les changements de base des représentations supercuspidales de $U (1, 1) (F_{0})$ . C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de $U (2, 1) (F_{0})$ .

Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems

Jochen Heinloth (2004)

Annales de l'Institut Fourier

The aim of these notes is to generalize Laumon’s construction [20] of automorphic sheaves corresponding to local systems on a smooth, projective curve $C$ to the case of local systems with indecomposable unipotent ramification at a finite set of points. To this end we need an extension of the notion of parabolic structure on vector bundles to coherent sheaves. Once we have defined this, a lot of arguments from the article “ On the geometric Langlands conjecture” by Frenkel, Gaitsgory and Vilonen [11]...

Currently displaying 21 – 40 of 271