Convex valuation theory and integral geometry

凸估价理论和积分几何

• 批准号: RGPIN-2016-06764
• 负责人: Faifman, Dmitry
• 金额: $ 1.15万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635366
• 关键词: Convex; valuation; theory; integral; geometry

Convex geometry is a classical, yet rapidly developing branch of mathematics, appearing in various guises in a great variety of mathematical disciplines, ranging from algebraic and symplectic geometry, through probability theory and combinatorics, and on to algorithmics. Integral geometry appeared in the nineteenth century in several flavors. It distinguishes itself from differential geometry by studying global invariants (such as total length), rather than local invariants (such as curvature).

凸几何是一个经典的，但迅速发展的数学分支，出现在各种各样的数学学科，从代数和辛几何，通过概率论和组合，并在算法的各种伪装。积分几何出现在十九世纪的几个风味。它与微分几何的区别在于研究全局不变量（如总长度），而不是局部不变量（如曲率）。