The second and fourth moments of the Riemann zeta function have been known for about a century, but the sixth moment remains elusive.  The sixth moment of zeta can be thought of as the second moment of a GL_3 Eisenstein series, and it is natural to consider variants of the problem where the Eisenstein series is replaced by a cusp form.  I will discuss recent work with Agniva Dasgupta and Wing Hong Leung where we obtain a nontrivial bound on this second moment.  I will also discuss some applications, including an improvement on the Rankin-Selberg problem.

Meeting ID:  920 2195 5230

Passcode:    The three-digit integer that is the cube of the sum of its digits.