## 11/11/2011, Friday, 14:30–15:30

I explain how the representation theory of symmetric groups provides elegant solutions to problems related to local operators in $$N=4$$ super-Yang Mills. Gauge-invariant local operators in this theory are constructed from matrices transforming in the adjoint of the U(N) gauge group. Permutations can be used to organise the operators. Characters and Clebsch-Gordan coefficients associated with representations as well as certain universal elements in the symmetric group algebras play a role in these applications. Schur-Weyl duality is also a recurrent theme.