Department of Mathematics, Aula Riunioni.<\/p>\n
The physically-inspired theory of conformal blocks <\/em>allows one to construct vector bundles on moduli spaces of curves with remarkable geometric and combinatorial properties. This theory uses as input the representations of some non-commutative algebras. A classical example is provided by the representations of affine Lie algebras<\/em>, and the resulting vector bundles have been studied at great length in the last thirty years, yielding extraordinary insights on moduli spaces of curves. In this talk, I will present how some fundamental results of the classical theory of conformal blocks extend to the more general setting provided by replacing affine Lie algebras with vertex operator algebras<\/em>. Specifically, I will discuss an extended factorization property and new cohomological field theories. This is joint work with Chiara Damiolini and Angela Gibney.<\/span><\/p>\n Further information is available on the event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":" The physically-inspired theory of\u00a0conformal blocks\u00a0allows one to construct vector bundles on moduli spaces of curves with remarkable geometric and combinatorial properties. This theory uses as input the representations of some non-commutative…<\/p>\n