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The automorphic discrete spectrum of \(\mathrm{Mp}_4\). (English) Zbl 1477.11099

In the Langlands program, one of the fundamental problem is Arthur’s conjecture on the parametrization of automorphic discrete spectrum of reductive groups in terms of A-packets. Such a parametrization has been established uniformly for quasi-split classical groups via Arthur’s (twisted) stable trace formula machine. Recently, the authors proved an analogous conjecture for the metaplectic group \(Mp_{2n}\) under certain restrictions on A-packets via the theory of theta correspondence [W. Gan and A. Ichino, Ann. Math. (2) 188, No. 3, 965–1016 (2018; Zbl 1486.11076)]. In the paper under review, in the case of \(Mp_4\), the authors provide a complete answer.
The paper is well written.

MSC:

11F70 Representation-theoretic methods; automorphic representations over local and global fields
11F55 Other groups and their modular and automorphic forms (several variables)

Citations:

Zbl 1486.11076
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