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# Geometry Working Seminar

Tuesday, May 21, 2019 — 9:30 AM EDT

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

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