June 20, 2025
Title: Seeing through space-time
Speaker: Gunther Uhlmann (University of Washington)
We will consider the question of whether we can determine the structure of space-time by making measurements near the worldline
of an observer. We will consider both active and passive measurements. For the case of passive measurements one measures the fronts of light sources near the observer. For the case of active measurements we couple Einstein equations with matter or electromagnetic fields and formulate the question of recovering the metric from observations of waves near the observer. The method applies to several other inverse problems for nonlinear equations, for example, nonlinear acoustic and elastic equations. No previous knowledge of Einstein's equations or Lorentzian geometry will be assumed.
location: HFG-611