Colloquium: Bill Banks -- On repeated values of the Riemann zeta function on the critical line

The Riemann zeta function is a central object of study in analytic number theory.  In
this talk, I will describe some results and open problems concerning the image of the
critical line {Re(s)=1/2} under the Riemann zeta function.  This is joint work with V.
Castillo-Garate, L.  Fontana, S.  Kang and C.  Morpurgo.