\magnification=1200 \baselineskip=20pt \nopagenumbers \font\big=cmr12 scaled \magstep2 \centerline{\bf STANFORD UNIVERSITY} \centerline{\bf DEPARTMENT OF STATISTICS} \centerline{\big DEPARTMENTAL SEMINAR} \bigskip \baselineskip=12pt \centerline{4:15 p.m., Tuesday, February 1, 2000} \centerline{Sequoia Hall Rm. 200} \centerline{(Cookies at 3:45 in 1st Floor Lounge)} \bigskip \baselineskip=15pt \centerline{\sl Persi Diaconis} \centerline{\sl Stanford University} \bigskip \centerline{\bf Random matrix theory and the zeros of Riemann's zeta function} \bigskip The eigenvalues of typical orthogonal matrices show remarkable patterns in their eigenvalues. I will explain some the patterns and show that they occur in the zeros of the zeta function. This introduces large data sets that fit classical distributions (e.g. the exponential) to remarkable accuracy. This is joint work with Marc Coram. \bye