北京雁栖湖应用数学研究院

Vertex algebras form a language in some sence generalizing the representation theoru of affine Lie algebras. They naturally appear in the representation theory of current Lie algebras and mathematical physics. They form the natural construction of Lie algebras in the category of D-modules on the curve. The characters of vertex algebras have some moduler property and this maces them usable in the number theory.