数学学术报告
报告题目：Spherical Analogs of Blaschke’s Theorem: Approximation of Spherical Convex Bodies of Constant Width
主 讲 人：韩呼和 副教授
报告时间：10月12日（周一）下午13:30--15:30
报告地点：数理楼221
报告摘要：A theorem of Blaschke states that for every convex body of constant width τ in the Euclidean plane E2and every ε，there exists a convex body of constant width τ whose boundary consists only of pieces of circles of radius τ such that the Hausdorff distance between the two bodies is at most ε. Lassak established an analog of this theorem for bodies of constant width τ < π/2 on the sphere S2. In this talk, we show that (1) for any spherical convex body C of constant width τ < π/2, there exists a sequence Ci of convex bodies of constant width τ whose boundaries consist only of arcs of circles of radius τ-π/2 and great circle arcs such that the Hausdorff distance between them is at most ε ; (2) for any spherical convex body C of constant width τ=π/2 , there exists a sequence Pi of spherical polytopes of constant width π/2 such that the Hausdorff distance between them is at most ε.
个人简历： 2017年获得横滨国立大学博士学位，获评优秀博士毕业生，获日本文部省国费奖学金。2019–2020年赴横滨国立大学担任客座研究员。主要研究内容包括乌尔夫图形及其对偶的局部对应关系、球面凸体常宽性、组合凸性等。主持陕西省自然科学基础研究计划项目、科技部外国文教专家项目等。相关成果发表于《Proceedings of the American Mathematical Society》,《Journal of the Mathematical Society of Japan》,《Results in Mathematics》,《Studia Mathematica》等知名期刊。
理学院数学学科
