### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Matthew Russell**, Rutgers University, russell2 {at} math [dot] rutgers [dot] edu)
** Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: VOAs, Partitions, Experimental Mathematics: a Very Exciting Program

Speaker: **Shashank Kanade**, Rutgers University

Date: Thursday, October 16, 2014 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

Rogers-Ramanujan identities form a pair of identities regarding integer partitions. These identities are intimately connected to the representation theory of vertex operator algebras via early works of Lepowsky-Milne and Lepowsky-Wilson. On the purely combinatorial/q-series-theoretic side, there are various proofs of these identities, and the one which stands out from the viewpoint of vertex operator algebras is the ''motivated proof'' given by Andrews and Baxter. In this talk, I will give an exposition of some (new) generalizations of this motivated proof to other families of identities. I will also explain how experimental mathematics is shaping the landscape. This talk is based on a recent joint work with J. Lepowsky, M. C. Russell and A. V. Sills.

See: http://www.math.rutgers.edu/~russell2/expmath/