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Home » MLA-Graduate Student Seminar: Inversion Progress for the sub-Riemannian X-ray Transform on the Heisenberg Group

Seminar

MLA-Graduate Student Seminar: Inversion Progress for the sub-Riemannian X-ray Transform on the Heisenberg Group October 28, 2019 (01:30 PM PDT - 02:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Steven Flynn (University of California, Santa Cruz)
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We formulate a sub-Riemannian X-ray transform on contact manifolds. Such manifolds are modeled locally by 2-step nilpotent Lie groups, with the HeisenbergĀ group exhibiting the simplest case. We explicitly describe the Heisenberg ray transform, and an ongoing attempt at its inversion using tools from noncommutative harmonic analysis that mirror the Euclidean case in the spirit of Helgason.

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