Events by date

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.

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Zariski Topology 101"

We'll (at least partially) answer the following questions: when is Spec(R) compact? Hausdorff? connected? irreducible? noetherian? Also, the basic open sets that Jeff described last time can be interpreted as localisations --- we will talk about that if time permits.

MC 5479