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 …

After extending the theory of Rankin–Selberg local factors to pairs of ℓ ℓ-modular
representations of Whittaker type, of general linear groups over a non-Archimedean local …

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 …

CHARACTERIZING THE MOD-l LOCAL LANGLANDS CORRESPONDENCE BY NILPOTENT
GAMMA FACTORS Page 1 Nagoya Math. J., 244 (2021), 119–135 DOI 10.1017/nmj.2020.8 …

We define the doubling zeta integral for smooth families of representations of classical
groups. Following this we prove a rationality result for these zeta integrals and show that …

Let $ F $ be a non-archimedean local field of residual characteristic $ p $, $\ell\neq p $ be a
prime number, and $\mathrm {W} _F $ the Weil group of $ F $. We classify the …

Let $\pi_1,\pi_2 $ be a pair of cuspidal complex, or $\ell $-adic, representations of the
general linear group of rank $ n $ over a non-archimedean local field $ F $ of residual …