报告地点：行健楼学术活动室665
报告人简介：
王好武，武汉大学数学与统计*女王调教-女王调教视频-女王 调教小说教授，国家级青年人才。研究方向为代数与数论，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., Amer. J. Math., Compos. Math., Adv. Math., Math. Ann.等顶级数学期刊发表论文30余篇.
报告摘要：
Abstract: In this talk, we establish two types of upper bounds on the vanishing order of Jacobi forms at infinity. The first type is for classical Jacobi forms, which is optimal in a certain sense. The second type is for Jacobi forms of lattice index. Based on this bound, we obtain a lower bound on the slope of orthogonal modular forms, and we prove that the module of symmetric formal Fourier--Jacobi series on orthogonal groups has finite rank. This is a joint work with my student Jialin Li.
