报告题目：Counting representation, partition functions, and Zeta functions
报告人：林宗柱教授（Kansas State University, USA）
摘要:It is known that the Riemann Zeta function, which is an innite series, canbe written as innite product. Generating functions of many interesting innite sequenceshave nice innite product decompositions. For example the generating function of partitionfunctions can be written as innite product. This phenomenon appears nationally inrepresentation theory such as the characters of Verma modules of a Kac-Moody Lie algebra.The quantum analog of this is given by counting representations of quivers. I will use theseexamples to illustrate the Kac Conjectures and how the proof of the conjecture will involvegeometry and representations of Kac-Moody Lie algebras.