Tuesday, 26 March, 2019 - 15:00
Aula 1B1 (Pal. RM002)
Incontri di Algebra e Geometria allo SBAI
Stefano Capparelli (Sapienza Università di Roma)
Rogers-Ramanujan identities, Lie algebras and Vertex Operator Algebras: a short historical introduction.
There are close connections between combinatorial objects such as integer partitions, as in the Rogers-Ramanujan identities, and classical algebraic objects such as Lie algebras, and a modern evolution of these algebras which is Vertex Operator Algebra (VOA) theory. This circle of ideas also involves finite group theory, modular forms, and various physics concepts. In this talk I want to sketch an elementary introduction to these ideas via a short historical overview.