SMS scnews item created by Daniel Daners at Wed 17 Sep 2014 0916
Type: Seminar
Modified: Fri 19 Sep 2014 1615
Distribution: World
Expiry: 22 Sep 2014
Calendar1: 22 Sep 2014 1400-1500
Auth: [email protected]

PDE Seminar

The projective rigidity of projective space

Eastwood

UPDATE: Note change of time!

Michael Eastwood
Australian National University
Mon 22 September 2014 3-4pm, Carslaw 829 (AGR)

Abstract

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. I�ll explain how this goes, starting from scratch. This is real integral geometry on real projective space: Funk transform, Radon transform, and all that. I�ll 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.

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