School Seminars and Colloquia

Raychaudhuri's equation and singularity analysis of second order ODEs


by Professor Geoff Prince

Institution: Director, Australian Mathematical Sciences Institute
Date: Tue 10th May 2011
Time: 12:00 PM
Location: Russell Love Theatre

Abstract: Raychaudhuri's equation is a tool used in the analysis of geodesic congruences. However, it has an analogue for systems of second order ODEs which can be used, for example, to design congruences of curves which collapse at a given place and time. This talk will give a glimpse of the differential geometry of ODEs and present some accessible examples. It is pitched at a general audience.

Colloquium Website