中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

 

报告人王好武 博士Institute for Basic Science, Center for Geometry and Physics, Korea

 Orthogonal modular forms and applications

  2022.05.13(星期五),15:00-16:00

  点:数学院南楼N219 / 腾讯会议:516-624-688

  要:This talk is a brief introduction to the theory of modular forms on symmetric domains of type IV attached to orthogonal groups of signature (n,2). We will introduce its applications to moduli spaces and explain its relations to generalized Kac--Moody algebras and hyperbolic reflection groups. The denominator identities of nice generalized Kac--Moody algebras are reflective modular forms, i.e. modular forms which vanish only on hyperplanes orthogonal to roots. We will discuss the classification of reflective modular forms and some related problems.

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