题目: Modular Nahm Sums for Symmetrizable Matrices with arbitrary rank

报告时间：5月27日15：00-16：00，腾讯会议：802-666-316

摘要: Recently, we construct three families of modular   Nahm sums for symmetrizable matrices with arbitrary rank $r\geq 2$ of indices $({2,\ldots, 2},1)$ and $({1,\ldots, 1},2)$. The cases $r = 2$ and $r = 3$ of these families were previously established by Mizuno, Warnaar, and B. Wang--L. Wang. Building upon these three families, we construct two vector-valued automorphic forms, one of which is a vector-valued modular function when $r$ is odd. The problem is whether the remaining components of these two vector-valued automorphic forms can be expressed as linear combinations of Nahm sums for symmetrizable matrices.

报告人简介：季青，天津大学国家应用数学中心教授，国家优青获得者。主要从事组合数学的研究，解决了沃尔夫奖获得者和多位美国科足球资讯网 院士提出的猜想和公开问题, 相关成果发表在包括J. Reine Angew. Math., Adv. Math. (3篇), Trans. Amer. Math. Soc. (2篇), J. Combin. Theory A (3篇)等期刊上，并被多位著名学者在包括权威杂志Notice AMS上正面引用。多次主持国家自然科学基金项目，参与国家自然科学基金委的创新群体项目和重点项目。