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.

数学系在佛罗里达州立大学与数学系在阿肯色州大学正在组织会议“克利福德分析和相关主题”发生在佛罗里达州立大学在2014年12月15日，16日和17日。 已经建立了一个会议：http://www.math.fsu.edu/cart2014/。本次会议的动机是汇集在这个领域的顶级研究人员沿着与学生和早期职业数学家讨论和合作的最新和持续的研究。 这种互动对学生来说尤其有价值。 克利福德分析与许多其他数学分支以及物理学中的重要应用，特别是信号处理有联系。 该奖项支持与会者的旅行。 克利福德分析基于克利福德代数，就像复分析基于复数一样。 实际上，复数是一个简单的Clifford代数。 而高维Clifford代数是非交换的，并且含有零因子. 本次会议的主题包括紧化的克利福德代数和他们的莫比乌斯几何，表示理论的共形和正交群，克利福德分析海森堡群，和次椭圆狄拉克运营商的CR流形。