# Algebra, Geometry and Skyrmions

**Date**: Tuesday 10 October 2017, 15:15 – 16:15**Location**: Mathematics Level 8, MALL 1, School of Mathematics**Type**: Pure Mathematics seminars, Algebra seminars, Colloquia, Seminar series**Cost**: Free

#### Nick Manton, University of Cambridge. Part of the algebra seminar series and algebra, geometry and integrable systems colloquium.

Skyrmions arise in a model devised to explain atomic nuclei.

Mathematically, they are spatially localised structures that solve certain PDEs, and quantum mechanics also comes in. However, this talk will stress neither the physics nor the PDEs. Instead it will be mainly about the geometrical structure of the Skyrmions. They resemble three-dimensional clusters of particles on the vertices of a Face-Centred-Cubic lattice, and those that are energetically favoured often have the shapes of SU(4) weight diagrams. I will present some (possibly) new results about the weight diagrams, and say something about what this implies for the physics

*After each talk at 4:15pm there will be tea/coffee in the Common Room at level 9 in Maths building. The current seminar organiser is Eleonore Faber. *

**Nick Manton,** *University of Cambridge*