主 题: School Colloquium (On Friday) ——The Riemann Hypothesis and Mathematical Physics
报告人: Professor Charles Newman (New York University)
时 间: 2018-03-23 15:00-16:00
地 点: Room 1114, Sciences Building No. 1
Abstract: In both analytic number theory (the Riemann Hypothesis) and mathematical physics (Ising models and Euclidean field theories) the following complex analysis issue arises. For ρ a finite positive measure on the real line R, let H(z; ρ, λ) denote the Fourier transform of \exp{λ u2} d ρ(u), i.e., the integral over R of \exp{izu + λu2} d ρ(u) extended from real to complex z, for those λ (including all λ < 0) where this is possible. The issue is to determine for various ρ's those λ's for which all zeros of H in the complex plane are real. We will discuss some old and new theorems about this issue.
Bio: Charles Newman is Silver Professor of Mathematics at the Courant Institute of
Mathematical Sciences at New York University. He holds a PhD and an MA from
Princeton University and two BS degrees from MIT. Newman is a Fellow of the
American Mathematical Society, a Fellow of the Institute of Mathematical Statistics, a
member of the International Association of Mathematical Physicists, a member of the
US National Academy of Sciences, a member of the American Academy of Arts and
Sciences, and a member of the Brazilian Academy of Sciences.
