The L^2 restriction of a GL(3) Maass form

In this talk, we will study the L^2 restriction problem of a GL(3) Maass form to GL(2).
By Parseval's formula, the problem becomes bounding averages of different families
of GL(3)xGL(2) L-functions. Assuming the Lindelof hypothesis for these
GL(3)xGL(2) L-functions as we usually do, one can achieve a sharp bound in
terms of the analytic conductor of the varying GL(3) Maass form. However,
we will give an unconditional proof of this sharp bound for selfdual GL(3) Maass
forms. For nonselfdual GL(3) Maass forms, our bounds depend on the bounds
of the first Fourier coefficients of the GL(3) Maass forms.

This is a joint work with Matt Young.