Large sieve inequalities for families of L-functions

Large sieve inequalities are useful and flexible tools for understanding families of L-functions.  The quality of the bound is one measure of our understanding of the corresponding family.  For instance, they may directly give rise to good bounds for certain moments of L-functions.  In this talk, I will survey this problem and discuss recent progress for some new families, especially a family of self-dual Eisenstein series in the level aspect.