Algebra seminar

Drazen Adamovic, University of Zagreb, Croatia

“Vertex algebras, affine Lie algebras and their representations”

We shall first present basic research directions in the theory of vertex algebras and infinite- dimensional Lie algebras. We shall discuss the repre- sentation theory of C2-cofinite vertex algebras. In the second part of the talk we shall presents some new applications of vertex algebras to the rep- resentation theory of affine Lie algebras. In particular, we shall study the irreducibility of Wakimoto modules at the critical level.