The Riemann Hypothesis is widely considered as the greatest unsolved problem in pure mathematics, conjectured nearly over 160 years ago. Its importance is for the many far-reaching implications for the distribution of prime numbers. In this colloquium, I will first review these well-known facts and history, with some emphasis on the appearance of Riemann's zeta function in physics, in particular in quantum statistical mechanics. I will then outline some recent work that offers a clear strategy towards proving the Riemann Hypothesis. One such strategy is based on an analogy with random walks and stochastic time series. As a concrete application of these ideas, I will explain how I calculated the google-th Riemann zero.
This lecture is dedicated to Shoucheng Zhang. In discussions with him in the last year I learned that he had a deep interest and knowledge of this problem, and some interesting ideas about it.
Wtr. Qtr. Colloq. committee: A. Linde (Chair), S. Kivelson, B. Lev, S. Zhang
Location: Hewlett Teaching Center, Rm. 201