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Advances in Index Theory

The University of Adelaide
Australian Research Council
Varghese, Prof Mathai

Project Summary

The laws of nature are often expressed in terms of differential equations which, if 'elliptic', have an 'index' being the number of solutions minus the number of constraints imposed. The Atiyah-Singer Index Theorem gives a striking calculation of this 'index', and this project involves innovative extensions of this theory with novel applications.

Professor Mathai Varghese (email)
website
ARC Professorial Fellow
School of Mathematical Sciences
The University of Adelaide
Business: (08) 8303 4173
Fax: (08) 8303 3696