Partition Identities, Q-series and the Quest for Rogers-Ramanujan Involutions

30 November 2016
11:30
Adam Keilthy
Abstract
This talk will introduce some arguably trivial results about partition identities, and generating functions for various counts of partitions. We will discuss methods of proving q-series identities via bijections of partitions, and proving partition identities via analytic methods. We will then comment on the Rogers-Ramanujan identities, their combinatorial interpretation, and their various methods of proof.