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: daners@como.maths.usyd.edu.au

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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