#### Alladi Ramakrishnan Hall

#### Vertex operator algebras and integer partition identities of Rogers-Ramanujan type

#### Shashank Kanade

##### Rutgers University

*Integer partition identities of Rogers-Ramanujan type are related, in*

various ways, to the representation theory of vertex operator

algebras. Recently, there have been many exciting advances in

this direction: new identities have been conjectured, certain

interesting (from the algebraic viewpoint) q-series-theoretic

``motivated proofs'' of already well-known identities have been found

and some new ways of ``categorifying'' such identities using the

representation theory of vertex operator algebras have been

explored. In this talk, I'll give an overview of some of these recent

developments. No previous knowledge of vertex operator algebras will

be assumed.

Done