Groups naturally arise in a wide variety of areas of mathematics, physics and other fundamental sciences as sets of transformations preserving some structure. From that perspective, the representation theory of various kinds of groups (finite groups, Lie groups, algebraic groups) or of related objects (Lie algebras, Hopf algebras, quantum groups) plays a crucial role in mathematics. We can for instance mention mathematical physics (gauge theories, quantum field theory), and number theory (Galois groups, automorphic forms, Langlands programme).
- Teaching coordinator: Izquierdo Diego