Geometry and Arithmetics

几何与算术

• 批准号: 0535363
• 负责人: Ludmil Katzarkov
• 金额: $ 1.2万
• 依托单位: University of Miami
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-12-15 至 2006-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0535363&HistoricalAwards=false
• 关键词: Geometry; Arithmetics

The Department of Mathematics at the University of Miami will host aWinter Conference and School in December 2005 entitled "Arithmetic,Algebraic and Symplectic Geometry". The conference will focus onpromotion and incorporation of recent advances in higher dimensionalalgebraic geometry into arithmetic and symplectic research directionsand the creation of new bridges between projective geometry andfoliation theory, between singularity theory and reconstructive Galoisproblems and between the geometry of coherent sheaves and symplectictopology. The award will support junior researchers and graduatestudents from U.S. institutions and will enable the dissemination ofgeometric techniques among the new generation of young scientists.The conference will address difficult classical questions about the hidden symmetries of the physical world, the large scale structure of space-time and the properties of matter athigh energies. This activity aims to advance our understanding of themathematical methodology necessary to handle such questions and toproduce results applicable in stringy physics, soft condensed matter theoryand mathematical biology.

迈阿密大学数学系将于2005年12月主办一次题为“算术、代数和辛几何”的冬季会议和学校。会议将集中于促进和纳入最新进展，在高维代数几何到算术和辛研究方向和创造新的桥梁之间的射影几何和叶理论，奇异理论和重构伽罗瓦问题和几何之间的连贯层和辛拓扑。该奖项将资助来自美国研究机构的初级研究人员和研究生，并将使几何技术在新一代年轻科学家中的传播成为可能。会议将讨论有关物理世界隐藏的对称性、时空的大尺度结构和高能量物质性质的经典难题。本活动旨在提高我们对处理此类问题所需的数学方法的理解，并产生适用于弦物理，软凝聚态理论和数学生物学的结果。