Geometry Seminar


The X-ray transform on complex projective space


Professor Mike Eastwood

University of Adelaide, Australia





The classical Radon transform takes a function on the plane and integrates it over the straight lines in the plane. Its invertibility provides the mathematical basis of modern medical imaging techniques. The X-ray transform takes a function in three-space and integrates it over the straight lines, the terminology being motivated by medical imaging. As one might expect, both of these transforms are best viewed on real projective space. In addition, the basic transform may be extended to one-forms or other tensors. In this talk, I shall discuss what happens on complex projective space where the straight lines are the Fubini-Study geodesics. This is joint work with Hubert Goldschmidt.



December 11, 2007 (Tuesday)


4:00 – 5:00pm


Room 517, Meng Wah Complex, HKU




All are welcome