A combinatorial construction of the series side of the Andrews-Gordon
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General Seminar - Mathematics

Speaker: Kağan Kurşungöz (Sabanci University)

Date/Time: 15 December 2011, Thursday, 16:00

Place: Sabanci University, FASS 1089

Title: A combinatorial construction of the series side of the Andrews-Gordon Identities

Abstract: In 1961, Gordon found a family of partition identities generalizing the Rogers-Ramanujan Identities.  The corresponding q-series identities were discovered by Andrews in 1974 using analytical techniques.  More recently, Andrews revisited the problem, and gave several infinite families of similar identities.  He also made a conjecture.  We will describe a method to construct the series sides of the mentioned identities, and prove the conjecture.  Open problems and directions for future research will be discussed as time allows.  The talk will be self contained.

Tea, coffee and cookies will be served in FASS 1089 from 15:30.