Theatre B, Richard Berry Building
The University of Melbourne
Department of Pure Mathematics
University of Adelaide
These well-known differential operators are important in applied mathematics but also in setting up calculus on manifolds. However, this is just the tip of an iceberg and I will indicate something of what lies below. Several other differential operators from applied mathematics and physics will emerge. On a very basic level, the key ingredient is the equality of mixed partial derivatives. The more advanced levels are concerned with the structure of Lie algebras and differential geometry modelled on homogeneous spaces. This talk will touch these different levels by means of examples. Little prior knowledge will be assumed.