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The Shimura–Waldspurger Correspondence for Mp(2n)

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Abstract

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(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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Acknowledgements

We thank the Simons Foundation for its generous travel and local support during the duration of the Simons Symposium. We are also grateful to Caihua Luo for his comments on an earlier draft.

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Correspondence to Wee Teck Gan .

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Gan, W.T., Li, WW. (2018). The Shimura–Waldspurger Correspondence for Mp(2n). In: Müller, W., Shin, S., Templier, N. (eds) Geometric Aspects of the Trace Formula. SSTF 2016. Simons Symposia. Springer, Cham. https://doi.org/10.1007/978-3-319-94833-1_6

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