非线性可积系统与孤立子理论最新进展研讨会

时间：2024年9月23日 19:30-21:00

地点：西安交通大学兴庆校区主楼B103

报告题目： Introduction to symmetry and invariants, with applications to reassembling broken objects and puzzles

摘要： Basic problems in image processing include recognizing when two objects are the same and classifying their symmetries.  The underlying mathematical apparatus is group theory, and the solution relies on the associated invariants.  In Euclidean geometry, familiar examples include inter-point distances and areas, along with curvature and torsion of curves and surfaces.  The talk will introduce the basics of groups, symmetries, and invariants, illustrated by simple examples and pictures.  This will be followed by recent applications to automated assembly of broken objects, such as jigsaw puzzles, egg shells and bones.

报告人: Peter J. Olver 美国明尼苏达大学

报告人简介： Peter J. Olver教授是非线性偏微分方程领域国际知名专家，是美国数学会（American Mathematical Society）和工业与应用数学会（ Society for Industrial and Applied Mathematics (SIAM)）fellow，曾任美国明尼苏达大学数学学院院长。Olver教授从事数学物理、非线性偏微分方程及可积系统相关领域的研究，在对称群理论、流体动力学、变分问题、微分几何、计算机视觉和图像处理、几何数值方法等方面的系列工作受到同行的广泛关注和引用。在他的研究领域在全世界范围内受邀做过500多场学术报告，发表160多篇学术论文，出版5部著作。