** Speaker:** Sun Kim, University of Illinois

** Title:** Bressoud's Conjecture

** Abstract: **
In 1980, D. M. Bressoud obtained an analytic generalization of the Rogers-Ramanujan-Gordon identities.
He then tried to establish a combinatorial interpretation of his identity, which specializes to many well-known
Rogers-Ramanujan type identities. He proved that a certain partition identity follows from his identity in a very
restrictive case and conjectured that the partition identity holds true in general. In this talk, we discuss
Bressoud's conjecture for the general case.