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

许多重要的数学领域包括代数几何、双曲几何和三维拓扑学、克莱因群、泰希穆勒理论、动力系统、规范理论和数论。他们的研究揭示了这些领域之间许多深刻而丰富的联系。一些调查人员开发的软件在研究这些问题时很有用。参加者亦有机会在课程期间与电脑专家互动和试验。这项课程汇聚了来自不同背景的顶尖专家，以奠定基础、探讨相互联系、报告最新发展和制订新方向。此外，研究生和年轻研究人员将接触到这一领域。这次会议将汇聚来自世界各地不同但相关领域的研究人员。研究生和博士后尤其将从暑期班提供的迷你课程中受益。在澳大拉西亚地区工作的研究人员，特别是日本、中国、韩国、印度、新加坡、澳大利亚和新西兰的研究人员将有机会与欧洲和美国的同行互动。

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.