Analytic continuation of representations and estimates of automorphic forms.
Appendix: A refinement of the strong multiplicity one theorem for GL(2). (Appendix to R. Taylor).
Artin -functions and normalization of intertwining operators
Asymptotic values of modular multiplicities for
We study the irreducible constituents of the reduction modulo of irreducible algebraic representations of the group for a finite extension of . We show that asymptotically, the multiplicity of each constituent depends only on the dimension of and the central character of its reduction modulo . As an application, we compute the asymptotic value of multiplicities that are the object of the Breuil-Mézard conjecture.
Automorphic forms
Automorphic forms, hyperfunction cohomology, and period functions.
Automorphic Forms on Covering Groups of GL(2).
Automorphic forms on .
Automorphic realization of residual Galois representations
We show that it is possible in rather general situations to obtain a finite-dimensional modular representation of the Galois group of a number field as a constituent of one of the modular Galois representations attached to automorphic representations of a general linear group over , 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