Christopher Lang, Department of Pure Mathematics, University of Waterloo
"The ADHM-Nahm Procedure"
In my last talk, we examined how group actions simplify the Nahm equations. In this talk, we outline the procedure that generates monopoles from solutions of these equations, the ADHM-Nahm procedure. Then, using Maple,, we follow this procedure to generate explicit examples of monopoles.
Spencer Whitehead, Department of Pure Mathematics, University of Waterloo
'Decorated Coxeter Diagrams'
Wythoff's construction is the primary tool used for generating uniform polytopes in any number of dimensions. We will discuss the classical Wythoff construction, as introduced by Wythoff and Coxeter, and look at a modern improvement via decorated Coxeter diagrams. Using decorated Coxeter diagrams, we will answer combinatorial questions about Wythoffian polytopes, such as number and kind of faces without explicitly construction them.