Workshop on Geometric Group Theory

几何群论研讨会

• 批准号: 1004774
• 负责人: Pallavi Dani
• 金额: $ 3万
• 依托单位: Louisiana State University
• 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: 2010-05-01 至 2012-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1004774&HistoricalAwards=false
• 关键词: Workshop; Geometric; Group; Theory

This award supports US invited speakers and US junior researchers attending the "Workshop on Geometric Group Theory", to be held August 9-14, 2010 at Goa University in India. This will be a satellite conference of the International Congress of Mathematicians (ICM). The workshop will feature a variety of topics which exemplify the central theme of the field, that of approaching group theoretic questions by treating groups as geometric objects. There will be mini-courses on lattices in Lie groups, CAT(0) groups and Out(Fn), which will be aimed at graduate students and researchers new to the field. In addition, there will be about 17 invited research talks in these as well as closely related areas, such as mapping class groups, limit groups, relatively hyperbolic groups and quasi-isometric rigidity.Geometric group theory is a relatively new field which has been flourishing in recent years. Questions and techniques in geometric group theory come from a startling range of sources: combinatorial group theory, three-manifolds, Riemannian geometry, logic, and algebraic geometry are just a few examples. The interdisciplinary aspect of the field has given rise to a rich theory. This workshop will create a stimulating forum for generating new ideas, by bringing together a variety of participants: leading specialists, junior researchers, and researchers from fields that are related, but not traditionally a part of geometric group theory. This is expected to be mutually beneficial: the sharing of techniques, tools and ideas from different backgrounds is likely to lead to interesting new avenues of research. Further, it will have a positive impact on international collaborations. The workshop will also seek to attract good mathematicians to geometric group theory by providing a well-rounded picture of the current state of research in the field. This will be done through mini-courses which focus on key examples and motivating ideas, and through invited research talks. There will also be short contributed talks, which will provide a platform for young mathematicians to present their research.

该奖项支持美国特邀演讲者和美国初级研究人员参加“几何群论研讨会”，将于2010年8月9日至14日在印度果阿大学举行。 这将是国际数学家大会（ICM）的卫星会议。该研讨会将以各种主题为特色，这些主题围绕着该领域的中心主题，即通过将群体视为几何对象来处理群体理论问题。将有关于李群，CAT（0）群和Out（Fn）中的晶格的迷你课程，这些课程将针对研究生和新领域的研究人员。此外，大会亦会邀请约17个研究讲座，内容包括映射类群、极限群、相对双曲群及拟等距刚性等。几何群论是近年来蓬勃发展的一个较新领域。 几何群论中的问题和技巧来自一个惊人的来源范围：组合群论，三流形，黎曼几何，逻辑和代数几何只是几个例子。该领域的跨学科方面产生了丰富的理论。本次研讨会将创建一个激励论坛，产生新的想法，汇集了各种参与者：领先的专家，初级研究人员，以及来自相关领域的研究人员，但传统上不是几何群论的一部分。 预计这将是互惠互利的：来自不同背景的技术、工具和想法的分享可能会导致有趣的新研究途径。此外，它将对国际合作产生积极影响。 讲习班还将寻求吸引良好的数学家几何群论提供了一个全面的图片目前的研究状况在该领域。这将通过小型课程，重点是关键的例子和激励的想法，并通过邀请研究会谈。也将有简短的贡献会谈，这将为年轻的数学家提供一个平台，介绍他们的研究。