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九游体育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。