报告人：Slaven Kozic 副教授，萨格勒布大学

报告时间：2025年11月27日（周四）上午 11：00-12：00 

报告地点：国C501

报告摘要：In 1978, Lepowsky and Milne discovered a fundamental connection between sum sides of certain Rogers-Ramanujan-type identities and the principally specialized characters of standard modules for the affine Lie algebra sl^_2. Starting with their results, the applications of representation theory of affine Lie algebras to combinatorial identities have been extensively studied. In this talk, we will recall some general constructions and results from the representation theory of Kac-Moody Lie algebras. This will establish a theoretical background for our next talk, where we will demonstrate one of the aforementioned applications.