Mathematics courses of the Postgraduate Diploma Program at ICTP.
Introduction to Representation Theory
We will cover the basic theory of the representation theory of finite groups over the complex numbers. This theory is fundamental to many problems in mathematics and physics were symmetry plays an important role. From Galois theory to counting ways to color the faces of a cube to the geometry of polyhedra representation theory helps understand their symmetry through the action of a group. The only prerequisite for these lectures are a solid base of linear algebra and group theory.