Arthur's multiplicity formula for GSp4 and restriction to Sp4 Page 1 Toby Gee & Olivier Taïbi
Arthur’s multiplicity formula for GSp4 and restriction to Sp4 Tome 6 (2019), p. 469-535. <http://jep.centre-mersenne.org/item/JEP_2019__6__469_0> …

We define variants of PEL type of the Shimura varieties that appear in the context of the
arithmetic Gan–Gross–Prasad (AGGP) conjecture. We formulate for them a version of the …

Abstract We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized
K3 surfaces. This is deduced as a particular case of a general theorem that states that low …

We describe some recent developments and formulate some conjectures in the genuine
representation theory and the study of automorphic forms of the metaplectic group Mp (2 n) …

Let G be a special orthogonal group or an inner form of a symplectic group over a number
field F such that there exists a non-empty set S of real places of F at which G has discrete …

Arthur has conjectured the existence of what are now known as Arthur packets of
representations of reductive algebraic groups over local and global fields. In the case of …

In this paper, we highlight and state precisely the local Langlands correspondence for quasi-
split $\mathrm {O} _ {2n} $ established by Arthur. We give two applications: Prasad's …

We prove the cohomological version of the Sarnak-Xue Density Hypothesis for $ SO_5 $
over a totally real field and for inner forms split at all finite places. The proof relies on recent …

The aim of this paper is twofold. First, we introduce a new method for evaluating the
multiplicity of a given discrete series representation in the space of level 1 automorphic …

Let S be a closed Shimura variety uniformized by the complex n-ball associated with a
standard unitary group. The Hodge conjecture predicts that every Hodge class in H 2 k (S …