The Shimura-Waldspurger correspondence for Mp(2n)
classification
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correspondencepointsometheoryviewautomorphicconjecturesdescribe
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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.
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