Skip to search formSkip to main contentSkip to account menu
Galois representations arising from some compact Shimura varieties
Our aim is to establish some new cases of the global Langlands correspondence for GLm. Along the way we obtain a new result on the description of the cohomology of some compact Shimura varieties. Let…
View via Publisher
Automorphic Plancherel density theorem
Let F be a totally real field, G a connected reductive group over F, and S a finite set of finite places of F. Assume that G(F ⊗ℚ ℝ) has a discrete series representation. Building upon work of…
View on Springer
Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$L-functions
We consider certain families of automorphic representations over number fields arising from the principle of functoriality of Langlands. Let $$G$$G be a reductive group over a number field $$F$$F…
View on Springer
Patching and the p-adic local Langlands correspondence
We use the patching method of Taylor--Wiles and Kisin to construct a candidate for the p-adic local Langlands correspondence for GL_n(F), F a finite extension of Q_p. We use our construction to prove…
View PDF on arXiv
Galois representations for general symplectic groups
  • A. Kret, S. Shin
  • Mathematics
    Journal of the European Mathematical Society
  • 14 September 2016
We prove the existence of GSpin-valued Galois representations corresponding to cohomological cuspidal automorphic representations of general symplectic groups over totally real number fields under…
View PDF on arXiv
Endoscopic Classification of Representations: Inner Forms of Unitary Groups
We classify the automorphic representations (over number fields) and the irreducible admissible representations (over local fields) of unitary groups which are not quasi-split, under the assumption…
View PDF on arXiv
Families of L -Functions and Their Symmetry
A few years ago the first-named author proposed a working definition of a family of automorphic L-functions. Then the work by the second and third-named authors on the Sato–Tate equidistribution for…
View PDF on arXiv
Families of Automorphic Forms and the Trace Formula
View via Publisher
On the cohomology of compact unitary group Shimura varieties at ramified split places
In this article, we prove results about the cohomology of compact unitary group Shimura varieties at split places. In nonendoscopic cases, we are able to give a full description of the cohomology,…
View PDF on arXiv
Galois representations associated to holomorphic limits of discrete series
Abstract Generalizing previous results of Deligne–Serre and Taylor, Galois representations are attached to cuspidal automorphic representations of unitary groups whose Archimedean component is a…
View on Cambridge Press
...
...
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License