IV Latin-American Congress on Lie Groups and Geometry

第四届拉丁美洲李群和几何大会

• 批准号: 1236594
• 负责人: Haydee Herrera
• 金额: $ 1.95万
• 依托单位: Rutgers University Camden
• 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: 2012-07-01 至 2014-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1236594&HistoricalAwards=false
• 关键词: IV; Latin; American; Congress; Lie

This award is to support participants from the US attending the IV Latin-American Congress on Lie Groups and Geometry in CIMAT, Guanajuato, Mexico, August 27-31, 2012. The study of Lie groups in Geometry has a long history, developed by figures such as Sophus Lie, Felix Klein, Wilhelm Killing, Elie Cartan, Hermann Weyl, etc. In particular, Klein proposed that specifying an appropriate transformation group leaving certain geometric objects invariant, one would then observe various geometries. At the global level, whenever a Lie group acts on a geometric object, such as a Riemannian manifold, this action provides a measure of rigidity and yields a rich algebraic structure in terms of its Representation Theory on tensors, cohomology groups, etc. The scientific focus of the conference is the interaction between Lie Group Theory, Geometry and Topology in the broadest possible sense. Topics to be touched upon in the conference will be: infinite-dimensional Lie algebras and their applications to geometry and topology, infinite dimensional representations as spaces of functions on a manifold, representation theory of Real Semisimple Lie Groups and Integrable Systems, actions of the mapping class group on the representation varieties of surface groups, special holonomy, proper affine actions on Minkowski space, Lie groups and their arithmetic subgroups, tessellations of homogeneous spaces, unipotent dynamics, etc.The aim of the fourth Latin-American Congress on Lie Groups and Geometry is to disseminate the latest developments in the area to both senior and junior mathematicians. This meeting will bring together researchers from all over Latin-America, USA and Europe, working in diverse areas related by their use of Lie groups in their different facets, namely geometrical, topological, algebraic, etc. It will also raise awareness of the excellent academic work taking place in Latin America and provide a networking opportunity for researchers and students. Graduate students and postdocs will especially benefit from the interaction with the senior mathematicians. Researchers working in developing countries will have the chance to interact with their counterparts from the USA and Europe. https://sites.google.com/site/4liegroupsandgeometry/home

该奖项是为了支持来自美国的参与者参加第四届拉丁美洲李群和几何大会在CIMAT，瓜纳华托，墨西哥，2012年8月27日至31日。李群的研究在几何有着悠久的历史，制定的数字，如索菲斯李，费利克斯克莱因，威廉杀害，埃利卡尔丹，赫尔曼外尔等，特别是克莱因提出，指定一个适当的变换组离开某些几何对象不变，然后将观察到各种几何形状。在全球层面上，每当李群作用于几何对象，如黎曼流形，这一行动提供了一个措施的刚性和产生丰富的代数结构方面的表示理论张量，上同调群等会议的科学重点是李群理论，几何和拓扑之间的相互作用在最广泛的意义上。会议将涉及的主题是：无限维李代数及其在几何和拓扑学中的应用，流形上函数空间的无限维表示，真实的半单李群和可积系统的表示理论，映射类群对曲面群表示簇的作用，特殊完整性，Minkowski空间上的适当仿射作用，李群和他们的算术子群，镶嵌的齐次空间，幂单动力学等第四届拉丁美洲李群和几何大会的目的是传播最新的发展，在该地区的高级和初级数学家。本次会议将汇集来自拉丁美洲，美国和欧洲的研究人员，在不同领域工作，这些领域与他们在不同方面使用李群有关，即几何，拓扑，代数等，它还将提高人们对拉丁美洲优秀学术工作的认识，并为研究人员和学生提供网络机会。研究生和博士后将特别受益于与高级数学家的互动。在发展中国家工作的研究人员将有机会与来自美国和欧洲的同行进行互动。https://sites.google.com/site/4liegroupsandgeometry/home