哈尔滨工业大学（深圳）学术讲座 

演讲人Speaker：王好武

题目Title:  Automorphic products of singular weight

时间Date： 2023年 10月 27 日       Time：10:00-11:00

地点Venue：H304 

内容摘要 ：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. 

个人简介(About the speaker):     

王好武教授，2015年本科毕业于武汉大学，2019年获得法国里尔大学博士学位，2023年起任武汉大学教授。

王好武的研究领域为数论，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., Algebr. Geom., IMRN, Trans. Amer. Math. Soc. 等学术期刊发表论文20余篇。