讲座题目：Singularity Computations of Rational Curves and Surfaces Using µ-Bases

讲座人(SPEAKER)：贾晓红 中国科学院数学与系统科学研究院副研究员

时间(TIME)：2018年9月28日(周五）15:00-15:50

地点(VENUE)：吉林大学中心校区数学楼三楼会议室

主办单位：吉林大学数学学院

报告摘要（ABSTRACT）：

µ-Bases are a new representation for rational curves and surfaces, which bridge between their parametric formsand implicit forms. µ-Bases inherit all intrinsic geometric properties of curves and surfaces. Due to their advantages in low degree, fast computation, and providing non-redundant information, µ-bases have well served as a radically new approach to the century old problem of implicitization, and created convenience for many geometric computational problems. We shall focus on the application of µ-bases in singularity computations of rational curves and surfaces, to show the power of µ-bases in expanding the singularity tree which is also crucial to algebraic geometry.

报告人简介（BIOGRAPHY）：

贾晓红，中国科学院数学与系统科学研究院副研究员，研究方向为计算机辅助几何设计。于中国科学技术大学数学系取得学士、博士学位，博士期间于美国莱斯大学计算机系进行联合培养。曾于香港大学计算机系图形学实验室从事博士后研究。曾获中国科学院院长奖优秀奖、中国科学院优秀博士论文、中国科学院数学院系统所关肇直青年研究奖、中国工业与应用数学学会几何设计与计算青年学者奖、中科院数学院第十届“陈景润未来之星”等荣誉。