International Centre for Theoretical Sciences, Bangalore, India

国际理论科学中心，印度班加罗尔

• 批准号: 1261422
• 负责人: William Goldman
• 金额: $ 3.55万
• 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: 2012
• 资助国家: 美国
• 起止时间: 2012-12-01 至 2014-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1261422&HistoricalAwards=false
• 关键词: International; Centre; Theoretical; Sciences; Bangalore

This award will be used to support participants from US institutions attending an Advanced School and Discussion Meeting on Groups, Geometry and Dynamics at the International Centre for Theoretical Sciences at the Tata Institute in Bangalore, India during December 3-16, 2012. Special areas of consideration include: Lorentzian geometry, geometry of negatively curved spaces, geometry of discrete groups, arithmetic of hyperbolic manifolds, lattices in Lie groups, geometry and dynamics of real and complex Kleinian groups, and flows on homogeneous spaces. The aim of this Advanced School and Discussion Meeting is to introduce young mathematicians to the foundations of the fields, their major developments, and the tools used for their study.The study of discrete group actions on various spaces been an important area of research for many decades, originating in the pioneering work of H. Poincare in the early 20th Century. The study of of solutions of certain differential equations on the complex line led to the concept of Fuchsian and Kleinian groups, which are discrete groups of automorphisms of the Riemann sphere, also acting as isometries of hyperbolic geometries in two and three dimensions. The study of these types of discrete group actions on complex spaces, and their generalizations to higher dimensions and to other geometries, continues to be a rich source of current research. This Advanced School and Discussion Meeting will foster interaction and promote research in these areas, and will explain the core problems at the frontiers of these fields a new generation of geometers.http://www.icts.res.in/program/GGD2012

该奖项将用于支持来自美国机构的参与者，在2012年12月3日至16日，在印度班加罗尔塔塔研究所的国际理论科学中心，在2012年12月3日至16日在印度塔塔研究所举行的小组，几何和动态会议上，特殊考虑领域。真实和复杂的克莱恩群体的几何形状和动力学，并在同质空间上流动。这次高级学校和讨论会议的目的是向年轻的数学家介绍这些领域的基础，他们的主要发展以及用于研究的工具。对各个空间的离散小组行动的研究是数十年来的重要研究领域，源自20世纪初的H. Poincare的开拓性工作。对复杂线上某些微分方程的解决方案的解决方案的研究导致了紫红色和克莱尼群的概念，这些概念是Riemann Sphere的自动形态的离散群，也充当了两个和三维的双曲几何形状的异态。对这些类型的离散群体作用在复杂空间上的研究及其对更高维度和其他几何形状的概括仍然是当前研究的丰富来源。这次高级学校和讨论会议将促进互动和促进这些领域的研究，并将解释这些领域的前沿的核心问题。