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Ella Pavlechko, Determination of a strictly convex Riemannian manifold from partial travel time data
March 2, 2022 | 12:00 pm - 1:00 pm EST
In this talk I will introduce a geometric inverse problem that is motivated by geophysical imaging and seismology. Specifically, I will reconstruct a compact Riemannian manifold with strictly convex boundary from wave-based data on the boundary. The given data assumes the knowledge of an open measurement region on the boundary, and that for every point on the manifold the respective distance function to the points on the measurement region is known. I will present the main techniques for the reconstruction, which includes embedding the manifold in function space and some global regularity properties of the distance functions.
Zoom Link:
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Meeting ID: 949 5557 4178
Passcode: 301451