4. 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 LanglandsShahidi 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 BrylinskiDeligne extensions?
– Describe covers of $GL(n)$ not arising from KazhdanPetterson.
Cite this as: AimPL: Automorphic forms on covering groups, available at http://aimpl.org/autoformcovergp.