EVENT DETAILS AND ABSTRACT

Title: Microlocal analysis of radial points
Speaker: Nick Haber
Speaker Info: Stanford University
Brief Description:
Special Note:
Abstract:

Microlocal analysis relies on correspondences between quantum physics and classical physics to give information about certain PDEs --- for instance, linear variable-coefficient PDEs on manifolds, interpreted as quantum systems. Foundational works of Duistermaat and Hörmander establish this framework under assumptions in which the associated classical dynamics are well-behaved. In this talk, I present analogous results (including propagation of singularities and a normal form) in a common setting in which the corresponding classical dynamics are less well-behaved (in the presence of radial points). This has applications in scattering theory as well as analysis on spaces which are asymptotically Minkowski, hyperbolic, and de Sitter. This work is in part joint with András Vasy.