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4. Applications


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      Problem 4.1.

      [E. Lapid] Are there instances of Rankin-Selberg methods for higher covers?


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          Problem 4.2.

          [E. Lapid] What global covering groups have arithmetic applications?


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              Problem 4.3.

              [W. Gan] Are there applications of the invariant trace formula for \widetilde{G}_{F}?


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                  Problem 4.4.

                  [P. Trapa] Interpret formal degrees of representations of \widetilde{G}_{F} on level of Hecke algebra. (à la Opdam, Reeder, et al)


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                      Problem 4.5.

                      Are there global applications of the trace formula, automorphic forms, Whittaker models, the Langlands-Shahidi method for \widetilde{G} ?

                      – Classify automorphic representations of covers of split tori.


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                          Problem 4.6.

                          Study the residual spectrum for \widetilde{GL}(n).

                          – Can the lifting of Levi subgroups be done over p-adic? If so, is it one of the Brylinski-Deligne extensions?

                          – Describe covers of GL(n) not arising from Kazhdan-Petterson.

                              Cite this as: AimPL: Automorphic forms on covering groups, available at http://aimpl.org/autoformcovergp.