Clifford Analysis and Related Topics, December 15-17. 2014

Clifford 分析和相关主题，12 月 15 日至 17 日。

• 批准号: 1446400
• 负责人: Craig Nolder
• 金额: $ 2.96万
• 依托单位: Florida State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-12-01 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1446400&HistoricalAwards=false
• 关键词: Clifford; Analysis; Related; Topics; December

The Department of Mathematics at Florida State University in conjunction with The Department of Mathematics at The University of Arkansas is organizing the conference "Clifford Analysis and Related Topics" to take place at Florida State University during December 15, 16 and 17, 2014. A conference has been established: http://www.math.fsu.edu/cart2014/. The motivation for this conference is to bring together top researchers in this field along with students and early career mathematicians to discuss and collaborate on recent and continuing research. Such interactions are especially valuable to students. Clifford Analysis has ties to many other branches of mathematics as well as important applications in physics and in particular to signal processing. This award supports travel for participants in the conference. Clifford analysis is based Clifford algebras in the same way that complex analysis is based on the complex numbers. Indeed the complex numbers are a simple Clifford algebra. However higher dimensional Clifford algebras are noncommutative and contain zero divisors. The topics of this conference include compactification of Clifford algebras and their Mobius geometry, representation theory of conformal and orthogonal groups, Clifford analysis on Heisenberg groups, and subelliptic Dirac operators on CR manifolds.

佛罗里达州立大学数学系与阿肯色大学数学系将于 2014 年 12 月 15 日、16 日和 17 日在佛罗里达州立大学举办“克利福德分析和相关主题”会议。已成立：http://www.math.fsu.edu/cart2014/。这次会议的目的是将该领域的顶尖研究人员与学生和早期职业数学家聚集在一起，就最近和持续的研究进行讨论和合作。 这种互动对学生来说尤其有价值。 克利福德分析与数学的许多其他分支以及物理学（特别是信号处理）中的重要应用都有联系。 该奖项支持会议参与者的旅行。 Clifford 分析基于 Clifford 代数，就像复分析基于复数一样。 事实上，复数是一个简单的克利福德代数。 然而，高维克利福德代数是不可交换的并且包含零因子。 本次会议的主题包括克利福德代数及其莫比乌斯几何的紧致化、共角群和正交群的表示论、海森堡群的克利福德分析以及CR流形上的次椭圆狄拉克算子。