报告题目 (Title)：关于mock theta函数和theta函数的一些恒等式 （Proofs of Mizuno’s conjectures on rank two Nahm sums）

报告人 (Speaker)：王六权 教授（武汉大学）

报告时间 (Time)：2023年11月8日(周三) 14:00—15:00

报告地点:（腾讯会议）：727-819-687

邀请人(Inviter)：王晓霞

主办部门：理学院数学系

报告摘要：Recently, Mizuno studied Nahm sums associated with symmetrizable matrices. He provided 14 sets of candidates of modular Nahm sums in rank two and justified four of them. We prove the modularity for eight other sets of candidates and present conjectural formulas for the remaining two sets of candidates. This is achieved by finding Rogers-Ramanujan type identities associated with these Nahm sums. We also prove Mizuno's conjectural modular transformation formula for a vector-valued function consists of Nahm sums. Meanwhile, we find some new non-modular identities for some other Nahm sums associated with the matrices in Mizuno's candidates. This talk is based on a joint work with Boxue Wang.