2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74335We discuss a recent proof by the author of a general version of the Verlinde conjecture in the framework of vertex operator algebras and the application of this result to the construction of modular tensor tensor category structure on the category of modules for a vertex operator algebra.21 pages. To appear in Proceedings of the conference "Non-commutative Geometry and Representation Theory in Mathematical Physics," July 5-10, 2004, Karlstad University, SwedenQuantum AlgebraHigh Energy Physics - TheoryMathematical PhysicsAlgebraic Geometry17B69; 18D10; 81T40text