题目：The classification and construction of singular-weight automorphic products
报告人: 王好武 (武汉大学)
时间： 2023-6-16 16:00-17:00
地点: 数学院425
邀请人：孙鹏
摘要: Automorphic products are modular forms with infinite product expansions and special zeros. For example, the denominator of the Weyl-Kac character formula of any affine Lie algebra defines an automorphic product of singular (i.e. minimal) weight as a Jacobi form. In this talk, we discuss automorphic products of singular weight on orthogonal groups O(n,2). This type of modular form is often the denominator of some Borcherds-Kac-Moody Lie algebra, and is related to vertex operator algebras. It was conjectured that there are only finitely many such modular forms. We present some results on the classification and construction of these exceptional modular forms. This talk is based on joint work with Brandon Williams.
报告人简介：王好武，2015年本科毕业于武汉大学，2019年8月获得法国里尔大学博士学位，2023年4月起任武汉大学教授，研究方向为数论，主要关注模形式理论及其在无限维李代数、顶点算子代数、双有理几何和数学物理中的应用，在 J. Eur. Math. Soc., Compos. Math., Adv. Math., Math. Ann., IMRN, Trans. Amer. Math. Soc. 等学术期刊发表论文20余篇。
