Nahm transforms in differential geometry

Nahm transforms in differential geometry

Thu, 11/10/2012
12:00 		Jakob Blaavand Junior Geometry and Topology Seminar Add to calendar SR1
Nahm transforms in differential geometry
This talk will discuss the notion of a Nahm transform in differential geometry, as a way of relating solutions to one differential equation on a manifold, to solutions of another differential equation on a different manifold. The guiding example is the correspondence between solutions to the Bogomolny equations on $ \mathbb{R}^3 $ and Nahm equations on $ \mathbb{R} $. We extract the key features from this example to create a general framework.