Tuesday, May 21, 2019 9:30 am
-
9:30 am
EDT (GMT -04:00)
Speaker 1: Christopher Lang, Department of Pure Mathematics, University of Waterloo
"Using Group Actions to Simplify Nahm Data"
The Nahm equations are a system of differential equations for $u(k)$-valued functions on $(a,b)\subset\mathbb{R}$. Solutions of the Nahm equations are called Nahm data. By imposing certain conditions on the Nahm data, the ADHM-Nahm procedure gives rise to monopoles in $\mathbb{R}^3$. Elaborating on [1], we examine how the actions of $\mathbb{R}^3$, $u(k)$, and $\mathrm{SU}(2)$ simplify the Nahm data.
[1] Dancer, A. Nahm data and su(3) monopoles. Nonlinearity 5, 6 (1992).
Speaker 2: Eric Boulter, Department of Pure Mathematics, University of Waterloo
Title and abstract: TBA
MC 5403