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4. Applications

    1. Problem 4.1.

      [E. Lapid] Are there instances of Rankin-Selberg methods for higher covers?
        • Problem 4.2.

          [E. Lapid] What global covering groups have arithmetic applications?
            • Problem 4.3.

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