报告题目：On the Theory of q-analogues and q-partial differential equations
报告人：刘治国教授 (华东师范大学)
报告地点：尚贤楼808报告厅
报告时间：2019年5月24日9:00—10:00
主持人：王琛颖 副教授
报告人简介：刘治国，华东师范大学教授, 博士生导师，主要研究方向是椭圆函数论、基本超几何级数和数论。曾率先提出q-偏微分方程的概念并将q-偏微分方程应用到q-级数的研究中，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。曾被英国皇家学会破格授予“王宽诚皇家学会研究奖学金”，美国科学院院士George Andrews教授盛赞他“发展了令人称奇的数学方法”，在Advances in Mathematics, Transactions of AMS, IMRN等国际重要数学刊物上发表研究论文60多篇。
报告摘要：Roughly speaking, a q-analogue of a theorem, identity or expression is a generalization involving a new parameter q that returns the original theorem, identity or expression by taking the limit as q approaches 1. The q-analogue is not unique. Finding a good q-analogue is an art. The earliest q-analogue studied in detail is the basic hypergeometric series, which was introduced in the 19th century.
A q-partial differential equation is an equation containing unknown multivariable functions and their q-partial derivatives, which is a q-analogue of the ordinary partial differential equation. The q-partial differential equation is a completely new research topic, which reveals some surpring connections between several branches of mathematics such as q-series, number theory and analytic functions of several complex variables. In this talk, I will introduce some research research progress in the q-partial differential equations with applications.
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数学与统计学院
2019年5月22日