Undergraduate mathematical colloquium “Symmetry, Invariants, Puzzles, and Cancer” 2016年12月15日（星期四）19:30，外国语学院第二课堂 Peter J. Olver (University of Minnesota) Abstract: Fundamental problems in image processing and computer vision include recognizing when twoobjects are the "same" and classifying their symmetries. The underlying mathematicalapparatus is group theory, and the solution relies on the associated invariants. InEuclidean geometry, familiar examples include inter-point distances and areas, along withcurvature and torsion of curves and surfaces. The talk will introduce the basics ofgroups, symmetries, and invariants, illustrated by examples and pictures.  This will befollowed by a presentation of recent applications to automated jigsaw puzzle assembly andcancer detection. About the speaker: Peter John Olver is an American methematician whose primary research interests revolve aroundthe applications of symmetry and Lie groups to differential equations. Over the years, he has done research in fluid mechanics, elasticity, quatum mechanics, mathematical physics, Hamiltonian mechanics, the calculus of variations, differential geometry, classical invariant theory, computer vision, and geometric numerical methods.He has been a full professor at the University of Minnesota since 1985. As of July, 2008, he has been serving as the Head of the Department. Olver became a fellow of the Society for Industrial and Applied Mathematics for “developing new geometric methods for differential equations leading to applications in fluid mechanics, elasticity, quantum mechanics, and image processing.”In addition, Olver is an elected fellow of the institute of Physics and a fellow of the American Mathematical Society. 欢迎各位老师和同学参加！ 数学学院 非线性科学研究中心 2016年12月13日