Symmetries (MS-E1997), 5cr, period III, spring 2018.
Symmetries, in a very general sense, are a central part of mathematics and its applications. For example they appear in the geometry of everyday objects, in art and architecture, and in classical, quantum, and particle physics. Within mathematics they touch every area, from differential equations to number theory.
This course will introduce the abstract notions of groups, Lie groups and Lie algebras and focus on the study of their representation theory. A variety of applications will be discussed.
Summary of teaching experience.
Vertex operator algebras and conformal field theory.
Some notes and resources from a seminar series/work-group held in spring 2016.