Riemann Hypothesis and Mathematical Physics

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Title
Riemann Hypothesis and Mathematical Physics
Speaker
Charles Newman, NYU and NYU Shanghai
Date & Time
Tuesday, November 14, 2017 - 14:00 to 15:00
Location
Room 264, Geography Building, 3663 Zhongshan Road North, Shanghai

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 \rho a finite positive measure on the real line R, let H(z; \rho, \lambda) denote the Fourier transform of \exp{\lambda u^2} d\rho (u), i.e., the integral over R of \exp{izu + \lambda u^2} d\rho (u) extended from real to complex z, for those \lambda (including all \lambda < 0) where this is possible. The issue is to determine for various \rho's those \lambda's for which all zeros of H in the complex plane are real. We will discuss some old and new theorems about this issue.

Biography:
Charles Newman is a Silver Professor of Mathematics at the Courant Institute of Mathematical Sciences at New York University and an Affiliated Professor of Mathematics at NYU Shanghai. He holds an M.A. and a Ph.D. from Princeton University, and two B.S. degrees from MIT.
Professor 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.

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Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

Location & Details

Transportation Tips:

  • Taxi Card
  • Metro:  Jinshajiang Road Station, Metro Lines 3/4/13 
  • Shuttle Bus:
    From NYU Shanghai Pudong Campus, Click here
    From ECNU Minhang Campus, Click here