Summer Undergrad 2020 - Symmetries

The aim of this course is to  explore some of the many ways in which symmetries play a role in  physics. We’ll start with an overview of the concept of symmetries and their description in the  language of  group theory. We will then discuss continuous symmetries and infinitesimal  symmetries, their fundamental role in Noether’s theorem, and their formalisation in terms of Lie  groups and Lie algebras. In the last part of the course we will focus on symmetries in quantum  theory and introduce representations of (Lie) groups and Lie algebras.