Nicolle Gonzalez - The higher structure of the Heisenberg and Clifford algebras
An important role in the structure of CFT is played by vertex operators. Categorifying these operators is, thus, a natural step towards understanding the higher structure of CFT. As a motivating example, I will explain a possible approach via the categorification of the vertex operators which relate the actions of the Heisenberg and Clifford algebras on Fock space, known as the boson-fermion correspondence. In the process, I will briefly discuss Khovanov's Heisenberg category and some of the basics of diagrammatic categorification.