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The Shimura-Waldspurger correspondence for $$\mathrm{Mp}(2n)$$. (English) Zbl 1453.11065
Müller, Werner (ed.) et al., Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. Cham: Springer. Simons Symp., 183-210 (2018).
Summary: We describe some recent developments and formulate some conjectures in the genuine representation theory and the study of automorphic forms of the metaplectic group $$\mathrm{Mp}(2n)$$, from the point of view of the theta correspondence as well as from the point of view of the theory of endoscopy and the trace formula.
For the entire collection see [Zbl 1401.11005].

##### MSC:
 11F70 Representation-theoretic methods; automorphic representations over local and global fields 11F55 Other groups and their modular and automorphic forms (several variables) 11F27 Theta series; Weil representation; theta correspondences
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