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Hyperbolic & Dispersive PDE Seminar

Seeing Through Space-Time

Gunther Uhlmann (University of Washigton)

Location:  Hill 705
Date & time: Tuesday, 13 September 2022 at 2:00PM - 3:00PM

Abstract:  We will consider the question on 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 determining the structure of space time as the problem of recovering the metric from observations of waves near the observer. The method applies to several other inverse problems for nonlinear equations, for example the equations of nonlinear acoustics. No previous knowledge of Lorentzian geometry will be assumed.


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