澳门蒲京娱乐场

科学研究
报告题目:

The classification of reflective modular forms

报告人:

王好武 博士(法国里尔大学)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

A holomorphic modular form on an orthogonal group of signature (2,n) is called reflective if its zero divisor is determined by reflections in the orthogonal group. This type of modular forms was introduced by Borcherds, Gritsenko and Nikulin in 1998, and has applications in generalized Kac-Moody algebra, algebraic geometry and number theory. The number of reflective modular forms was conjectured to be finite. The classification of such modular forms has been studied by many mathematicians in the past 20 years. In this talk, I will introduce some new classification results and present some applications.