报告题目: From bacteria aggregation to Rubik’s cube aggregation

报告人：Seung Yeal Ha（首尔国立大学）

报告时间与地点：9月12日 （星期六）10:00， 国产主播 207报告厅

报告摘要:  The terminology “synchronization" denotes the adjustment of rhythms via weak interactions in an ensemble of oscillators, and it is one of collective phenomena appearing in oscillatory systems. Despite of its ubiquitous presence in our nature, it became a scientific subject only after Huygen's observation on the asynchronous dynamics of two pendulum clocks in the middle of the seventeenth century. Moreover, its systematic theoretical study based on mathematical models has been done only in a half century ago by two pioneers Arthur Winfree and Yoshiki Kuramoto. In particular, the Kuramoto model has been extensively used as a prototype model for synchronization. In this talk, we provide a brief overview on Kuramoto’s hierarchy for tensor aggregation consisting of four distinct aggregation models such as the Kuramoto model, the swarm sphere model, the Lohe matrix model and the Lohe tensor model, and discuss inclusive relations between them.

报告人介绍：Seung Yeal Ha，韩国科学与工程院院士、首尔国立大学数学系教授，韩国科学奖、青年科学奖、KSIAM-Kumkok奖的获得者，国际数学家大会45分钟报告人。主要研究方向为双曲守恒律方程，气体动力学理论，多智能体系统的群体行为等。