A joint meeting of the General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics and the seminar of the Laboratory of Mathematical Problems of Physics
Scattering on the Poincaré upper half-plane, Riemann hypothesis, intertwining operators and Huygens principle
Abstract:
The famous paper of Faddeev and Pavlov published 45 years ago established a link between scattering theory for the wave equation on non-compact Riemann surfaces and the Riemann hypothesis. I shall describe this approach as well as the links between the Harmonic analysis on semisimple Lie groups and symmetric spaces and scattering theory.
