Computational And Discrete Geometry

计算和离散几何

• 批准号: CRC-2016-00027
• 负责人: Bezdek, Karoly
• 金额: $ 14.57万
• 依托单位: University of Calgary
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2021
• 资助国家: 加拿大
• 起止时间: 2021-01-01 至 2022-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=729704
• 关键词: Computational; Discrete; Geometry

The research program proposed by Dr. Karoly Bezdek (U of C) belongs to the broad area of discrete (resp., computational) geometry. He proposes to continue the research work of his previous CRC term on topics such as separable ball packings, ball-polyhedra, and non-separable arrangements of convex bodies. On the other hand, he plans to work on fundamentally new research directions as well including crystallization via soft ball packings, combinatorial X-raying, and volumetric geometry of molecules. Along the way, a number of longstanding conjectures are targeted with a combination of methods from discrete, convex, and differential geometry, geometric analysis, and probability.

Karoly Bezdek 博士（加拿大大学）提出的研究计划属于离散（或计算）几何的广泛领域。他建议继续上一个CRC学期的研究工作，涉及可分离球堆积、球多面体和凸体不可分离排列等主题。另一方面，他还计划致力于全新的研究方向，包括通过软球填料结晶、组合 X 射线和分子的体积几何。在此过程中，许多长期存在的猜想都是通过结合离散几何、凸几何和微分几何、几何分析和概率的方法来实现的。