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SQUIDS Seminar: From X-ray to Nonabelian Ray Transforms

Dates:8 October 2025
Times:13:00 - 14:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, Current University students
Speaker:Shubham Jathar
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  • Department of Mathematics, Statistics, inverse problems, uncertainty quantification and data science

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  • In category "Seminar"
  • In group "(Maths) Statistics, quantification of uncertainty, inverse problems and data science"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

Speaker: Shubham Jathar (LUT University, Finland) Abstract: This talk surveys ray transforms in tomography, starting from the classical X-ray (Radon) transform and its geodesic generalization on Riemannian manifolds. We then discuss attenuated models with scalar and matrix weights, followed by nonabelian ray transforms. A unifying framework is provided by matrix-weighted double-fibration transforms, which enable microlocal analysis and injectivity results. We conclude with recent theorems establishing local and global uniqueness for matrix-weighted and nonabelian ray transforms under analytic and geometric conditions.

Speaker

Shubham Jathar

Organisation: LUT University, Finland

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Frank Adams Room 2
Alan Turing Building
Manchester

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Yoshihito Kazashi

y.kazashi@manchester.ac.uk

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