报告人：陈小航(维也纳大学)

时间：2024年07月12日 15:00

地址：理科楼LA103

摘要：In this talk, I will present my recent work on the Seo-Yee conjecture, which claims the nonnegativity of coefficients in the expansion of a q-series infinite product. The Seo-Yee conjecture arises from the study of seaweed algebras (a special type of Lie algebras), and is closely tied with the enumeration of the index statistic of integer partitions. Our proof of the Seo-Yee conjecture is built upon the asymptotic analysis for a generic family of nonmodular infinite products near each root of unity.

简介：陈小航，奥地利维也纳大学博士后，合作导师为Christian Krattenthaler教授。博士毕业于美国宾夕法尼亚州立大学，师从美国两院院士、前美国数学会主席George E. Andrews教授。研究专长：数论、组合数学、特殊函数。已在《Adv. Math.》，《Proc. Edinb. Math. Soc.》，《J. Combin. Theory Ser. A》，《J. Number Theory》，《J. Algebraic Combin.》等综合性及组合与数论方向的高水平期刊发表学术论文多篇，并在Combinatory Analysis 2018、Applications of Computer Algebra 2022、SASTRA Ramanujan 2023、The Legacy of Ramanujan 2024等国际会议以及美国数学学会Joint Mathematics Meetings和Sectional Meetings上作邀请报告。

邀请人：傅士硕

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