关于举行澳大利亚麦考瑞大学沙敏博士学术报告会的通知

报告题目：Multiplicative dependence of values of rational functions 

报 告 人：沙敏 博士（澳大利亚麦考瑞大学计算机系，MQ research fellow）

报告时间：2018年3月2日（星期五）下午 4：00-5：00

报告地点：四号楼4318会议室

邀 请 人：胡甦 副教授

欢迎广大师生前往！

数学学院

 2018年2月28日

报告摘要：We say non-zero complex numbers a_1, ..., a_n to be multiplicatively dependent if there exist integers k_1, ..., k_n, not all zero, such that the product a_1^{k_1} ... a_n^{k_n} = 1. In this talk, I will present some recent results on the multiplicative dependence of values of rational functions and their applications to polynomial dynamical systems. One typical result is that given rational functions f_1, ..., f_n over a number field K, under some conditions, there are only finitely many numbers a_1, ..., a_n from the maximal abelian extension of K such that the numbers f_1(a_1), ..., f_n(a_n) are multiplicatively dependent.