Automn 2012 Hadamard Lectures

• The second series of lectures :

Some mathematical structures arising in physics and applications par

PR. VICTOR KAC (MIT et IHÉS) from 5 November to 6 December 2012
 

Abstract. The basic idea of the course is to start with a non-rigorous notion coming from physics, like the operator product expansion in quantum field theory, or local and non-local Poisson bracket in the theory of integrable systems, show how to make these notions rigorous, develop a theory of the corresponding structures, and then explain some applications.

Topics, covered in the course, include vertex algebras, that arise in conformal field theories, and local and non-local Poisson vertex algebras, that arise in the theory of integrable systems of Hamiltonian PDE.

In particular, I will explain how to use these structures in representation theory, and in the proof of integrability of Hamiltonian PDE.

Schedule : Monday and Thursday from November 5, 2012 to December 6, 2012 from 10:00 to 12:00 am at IHÉS

You can register to these lectures by filling up the on-line form.
Registration is not compulsory but it would help for practical organization of the lectures.

For any scientfic question, please contact Jean-Pierre Bourguignon.

For any practical question, please contact Nicole Lhermitte.