Events

Michael Baker, Department of Pure Mathematics, University of Waterloo

“Representations of sl(2;C) and sl(3;C)”

I will develop the basic theory of representations of Lie algebras, and then move on to the important special cases of the Lie algebras sl(2;C) and sl(3;C) of traceless complex matrices.

Matthew Beckett, Department of Pure Mathematics, University of Waterloo

“Bundles and Connections”

Differential Geometry is the study of smooth manifolds, often with some added structure. A common area of study is vector bundles with connections.

Talk 1. Mohamed El Alami - 1:00pm

Pure Mathematics Department, University of Waterloo

Matthew Beckett, Department of Pure Mathematics, University of Waterloo

“Complex submanifolds continued, and zero sets of analytic functions”

We will pick up where we left off last week, finishing up a couple results about complex submanifolds of Cn.

Michael Baker, Department of Pure Mathematics, University of Waterloo

“Representations of sl(3;C)”

We introduce the Lie algebra sl(3;C) of traceless complex matrices, and begin our classification of its representations. With some slight generalizations, we can apply the same strategy we used for sl(2;C), although the analysis is now more involved.