On Some Conjectured Partition Identities of Kanade and Russell; Chris Jennings-Shaffer
Sprache des Titels:
In 2014, Kanade and Russell conjectures six partition identities of the Rogers-Ramanujan type. We discuss the recent proof of the modulo 12 conjectures by Bringmann, JS, and Mahlburg, which is a combination of various q-series techniques. As time permits, we will also consider the proofs of more recent conjectures of Kanade and Russell, some of which are related to affine Lie algebras.