Title: The Jacobian of modular forms

报告人：王好武   Institute for Basic Science, South Korea

It is an important problem in the theory of modular forms to determine the structure of rings of modular forms, that is, to find explicit generators and their relations. In this talk, I will introduce the modular Jacobian approach to construct and classify the arithmetic groups acting on type IV symmetric domains, for which the rings of modular forms are freely generated. Using this unified approach, we have recovered almost all known polynomial rings of orthogonal modular forms in the literature, and found many new examples. I will also introduce the extension of this method to other types of modular forms.

报告人简介：王好武，2019年毕业于法国里尔大学，研究领域为模形式及其应用，已在 Compos. Math., Adv. Math., Math. Ann., Trans. Amer. Math. Soc., Int. Math. Res. Not. 等国际知名刊物发表多篇高水平文章。

时间：2021年12月07日（周二） 10:00-11:00

地点：腾讯会议，ID: 885 007 406

邀请人：孟宪昌