邀请报告：Ružica Rasoulzadeh-Mijić博士（TU Wien）
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发布时间：2026-08-16
发布时间：2026-08-16
文章标题：邀请报告：Ružica Rasoulzadeh-Mijić博士（TU Wien）
内容：
报告题目：Sphericity and geometric properties of ratios in Möbius and Laguerre geometry
时间：2026年8月17日 15:00-17:00
地点：兴庆校区数学楼2-2会议室
#腾讯会议：464-265-757
报告摘要：
In traditional Euclidean geometry, we distinguish between points, lines and circles. Sphere
geometries organize these familiar objects di erently: objects that are distinct from the Euclidean
viewpoint may be treated as objects of the same type. In Laguerre geometry, for example, points
and oriented circles are both regarded as generalized circles, with points interpreted as circles of
radius zero. In Möbius geometry, on the other hand, lines and circles are viewed as generalized
circles.
In the first part of the talk, I introduce the fundamental objects and relations of Möbius and
Laguerre geometry. Then, translating geometry into algebra, I explain how the relevant objects can
be represented by complex and dual numbers in dimension two, and by quaternions and dual
quaternions in dimension three. Finally, I consider analogous incidence configurations in the two
sphere geometries and characterize them using ratios in the corresponding algebraic models.
Although the geometric objects and underlying algebras di er, the resulting incidence criteria take
exactly the same formal shape, highlighting the close relationship between Möbius and Laguerre
geometry.
报告人简介：
Ružica Rasoulzadeh-Mijić 博士，维也纳科技大学离散数学与几何研究所应用数学系博士生、项目助理。她本科、硕士均毕业于维也纳大学数学与画法几何师范专业，两次获评优秀毕业生，硕士学位论文围绕Laguerre几何展开；长期承担画法几何、几何建模可视化等课程教学工作。自 2021 年攻读博士学位，导师是Christian Müller教授。主要研究方向为Möbius几何、Laguerre几何、离散微分几何、球面几何经典模型、交比不变量，以及复数、四元数、对偶数体系下几何代数表示。博士论文工作主要探讨Möbius与Laguerre几何中的球面特性及交比几何性质。
邀请人：王慧副教授