应002全讯白菜网数学系张毅超教授邀请,韩国成均馆大学Subang Lim教授于2017年6月26日至2017年7月1日在002全讯白菜网数学系进行学术访问,并于6 月29日(周四)下午16:30-17:30在正心楼203作学术报告,详细信息如下,欢迎大家参加! 报告题目:Limits of traces of singular moduli 报告摘要:Zagier proved that traces $Tr_d(j_1)$ of singular moduli for $d<0$ are coefficients of a weakly holomorphic modular form $g_1$ of weight $3/2$. Duke, Imamo$/bar{/mathrm{g}}$lu, and T/'oth defined a modular trace $Tr_d(j_1)$ for $d>0$ by using the cycle integral of $j_1$, and showed that its generating function is a mock modular form whose shadow is $g_1$. In this talk, we introduce connections between $Tr_d(j_1)$ for $d>0$ and $Tr_d(j_1)$ for $d<0$ by considering a certain asymptotic behavior of twisted sums of $Tr_d(j_1)$ over $d>0$ and $d<0$, respectively. 报告时间:2017年6月29日(周四)下午16:30-17:30 报告地点:正心楼203 讲座嘉宾:Subang Lim 嘉宾简介:Subang Lim教授是模形式领域非常活跃的一位专家,近几年共发表超过10篇SCI论文,与众多该领域的专家保持着紧密的合作。主要研究方向为Modular Forms, Jacobi Forms, Quantum Modular Forms and Eichler-Shimura Cohomology. |