UPDATE: Note change of time!
Australian National University
Mon 22 September 2014 3-4pm, Carslaw 829 (AGR)
In 2002, LeBrun and Mason showed that the only projective structure on real projective two-space with all geodesics being simple closed curves is the standard one. I shall show that the corresponding infinitesimal statement holds in all dimensions. This boils down to identifying the kernel of a suitable X-ray transform. Iíll explain how this goes, starting from scratch. This is real integral geometry on real projective space: Funk transform, Radon transform, and all that. Iíll also explain how one might approach similar questions on complex projective space.
Check also the PDE Seminar page. Enquiries to Daniel Hauer or Daniel Daners.