IMS PROGRAM ON GEOMETRY, TOPOLOGY AND DYNAMICS OF CHARACTER VARIETIES: SUMMER SCHOOL, WORKSHOP AND CONFERENCE

IMS 人物几何、拓扑和动力学项目：暑期学校、研讨会和会议

• 批准号: 0965849
• 负责人: William Goldman
• 金额: $ 4.68万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-04-15 至 2011-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0965849&HistoricalAwards=false
• 关键词: IMS; PROGRAM; GEOMETRY; TOPOLOGY; DYNAMICS

Character varieties lie at the confluence of many important areas of mathematics including algebraic geometry, hyperbolic geometry and three dimensional topology, Kleinian groups, Teichmuller theory, dynamical systems, gauge theory, and number theory. Their study reveals many deep and rich connections between these fields. Software developed by some of the investigators has been useful in studying these problems. Participants will also profit from the opportunity to interact and experiment with computer experts during the program.This program brings together leading experts from these different backgrounds to lay the foundations, explore inter-connections, report recent developments and to chart new directions. Furthermore graduate students and young researchers will be exposed to this field. This meeting will bring together researchers in diverse, but related areas, from all over the world. Graduate students and postdocs especially will benefit from the minicourses being offered in the summer school. Researchers working in the Australasia region, especially Japan, China, Korea, India, Singapore, Australia and New Zealand will have a chance to interact with their counterparts in Europe and America.

角色品种位于数学的许多重要领域的汇合处，包括代数几何形状，双曲线几何和三维拓扑，克莱尼亚群体，teichmuller理论，动力学系统，仪表理论和数理论。他们的研究揭示了这些领域之间许多深厚而丰富的联系。一些研究人员开发的软件在研究这些问题方面很有用。 参与者还将从计划期间与计算机专家进行互动和实验的机会中获利。该计划汇集了来自这些不同背景的领先专家，以奠定基础，探索联系，报告最新的发展并绘制新的方向。 此外，研究生和年轻研究人员将接触到这一领域。 这次会议将使来自世界各地的不同但相关领域的研究人员聚集在一起。尤其是研究生和博士后，将从暑期学校提供的微型赛中受益。在澳大利亚地区，尤其是日本，中国，韩国，印度，新加坡，澳大利亚和新西兰工作的研究人员将有机会与欧洲和美国的同行互动。