主讲人:刘治国 华东师范大学教授
时间:2026年5月28日15:00
地点:徐汇校区三号楼332室
举办单位:数理学院
主讲人介绍:刘治国,现为华东师范大学教授、博士生导师。主要研究领域为椭圆函数论、基本超几何级数理论和数论。他对天才数学家Ramanujan遗留的诸多问题有深入广泛的研究并取得令人瞩目的研究成果。在国际上率先提出q-偏微分方程的概念并将其应用到q-级数的研究中,开辟了此领域新的研究方向。曾被英国皇家学会破格授予“王宽诚皇家学会研究奖学金”。迄今已在Advances in Mathematics, Transactions of AMS, IMRN等国际重要数学刊物上发表研究论文80多篇,获教育部高等学校自然科学研究成果奖二等奖等奖项。
内容介绍:The duality between the Lagrange translation formula and the Taylor series expansion is a cornerstone of classical analysis, beautifully linking exponential differential operators to global translations. But what happens when we move to the $q$-analog world? As it turns out, $q$-translation behaves quite differently, breaking away from traditional Taylor structures and demanding entirely new operator frameworks. This talk introduces a novel $q$-translation formula, explores its underlying $q$-calculus principles, and demonstrates its powerful applications in the study of $q$-series.
