Motivated by the Langlands program in representation theory, number theory, and geometry,
the theory of representations of a reductive p-adic group, originally in complex vector …

Let and be two distinct odd primes, and let be a positive integer. Let be a finite Galois
extension of degree of a-adic field. Let be the cardinality of the residue field of. Let be an …

THE l-MODULAR LOCAL LANGLANDS CORRESPONDENCE AND LOCAL CONSTANTS
Page 1 J. Inst. Math. Jussieu (2021) 20(5), 1585–1635 doi:10.1017/S1474748019000586 c …

Let F be a non archimedean local field, let k be an algebraically closed field of characteristic
ℓ different from the residual characteristic of F, and let A be a commutative Noetherian W (k) …

We prove a local converse theorem for-adic families of smooth representations of where is a
finite extension of and. Along the way, we extend the theory of Rankin–Selberg integrals …

Let $ p $ and $ l $ be distinct primes and let $ n $ be a positive integer. Let $ E $ be a finite
Galois extension of degree $ l $ of a $ p $-adic field $ F $. Let $\pi $ and $\rho $ be two $ l …

We extend the theory of local constants to l-adic families of representations of GL_n (F)
where F is a p-adic field with l not equal to p. We construct zeta integrals and gamma factors …

Let F/Fo be a quadratic extension of non-archimedean local fields of odd residual
characteristic, set G= GLn (F), Go= GLn (Fo) and let l be a prime number different from the …

Let $\mathrm {F} $ be a local non-archimedean field of residue characteristic $ p $ and
$\overline {\mathbb {F}} _\ell $ an algebraic closure of a finite field of characteristic $\ell\neq …

Abstract Let $\unicode [STIX]{x1D70B} _ {1},\unicode [STIX]{x1D70B} _ {2} $ be a pair of
cuspidal complex, or $\ell $-adic, representations of the general linear group of rank $ n …