On some conjectured partition identities of Kanade and Russell
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.