The lens rigidity problem in 2 dimension

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• Spyros Alexakis (Toronto)
• Monday 18 November 2024, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Dr Greg Taujanskas.

We will discuss the geometric inverse problem of finding a Riemannian metric on a manifold-with boundary, from knowledge of the lens map: Assume we know the exit point and length for any geodesic that is shot into a manifold from its boundary in any direction, can we reconstruct the metric? Can local metric reconstruction be performed from local lens data? If the whole metric cannot be reconstructed, how much of it can? Is the reconstruction stable? We present recent work on these questions, for 2-dimensional metrics. Some brief discussion the relation of this work with wave inverse problems will also be provided. Joint work with Matti Lassas.

This talk is part of the Partial Differential Equations seminar series.

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