Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:****Drew Sills**, Rutgers University, asills {at} math [dot] rutgers [dot] edu**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: A new combinatorial proof of the generalized Rogers-Ramanujan identities

Speaker: **Cilanne Boulet**, Massachusetts Institute of Technology

Date: November 11, 2004 4:30-5:30pm

Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

We give a combinatorial proof of the first Rogers-Ramanujan identity by definining a new generalization of Dyson's rank and presenting two related symmetries. These symmetries are established by direct bijections. We will also show how to extend this proof to Andrews' generalization of the Rogers-Ramanujan identities. This is joint work with Igor Pak.