Geometry, Analysis, and Surfaces: An International Workshop in Autrans, France

几何、分析和曲面：法国 Autrans 举办的国际研讨会

• 批准号: 1063676
• 负责人: Richard Wentworth
• 金额: $ 3.84万
• 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: 2011
• 资助国家: 美国
• 起止时间: 2011-03-01 至 2012-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1063676&HistoricalAwards=false
• 关键词: Geometry; Analysis; Surfaces; International; Workshop

This proposal will support participants from the US to a workshop in Autrans, France, during the period March 20-25, 2011. The workshop is part of an ongoing effort to advance the understanding of representation varieties from the analytic, topological and dynamical viewpoints, and to probe more deeply their relationship to other branches of mathematics and mathematical physics. The central themes of the conference are moduli of representations and higher Teichmueller theory, but other topics include problems in quantization, probability, hyperbolic geometry, and geometric analysis.This meeting will bring together leading researchers from around the world. The workshop will provide a combination of introductory talks on important subjects related to the main themes, as well as more specialized research talks on the latest developments. Graduate students and postdocs especially will benefit from the introductory lecture series and the opportunity to interact with mathematicians in the field. The subject area of the conference, the geometry and topology of moduli spaces, is an extremely active field that continues to play a central role in current mathematics research. It has also attracted many new Ph.D. students and postdoctoral researchers. The workshop is an opportunity for this diverse group of mathematicians working in related fields to interact, share ideas, begin new collaborations, and advance the field.

该提案将支持来自美国的参与者参加2011年3月20日至25日在法国奥朗举行的研讨会。该研讨会是一个持续努力的一部分，旨在从分析、拓扑和动力学的角度推进对表征变化的理解，并更深入地探索它们与数学和数学物理其他分支的关系。会议的中心主题是表示的模和更高的Teichmueller理论，但其他主题包括量化，概率，双曲几何和几何分析的问题。这次会议将汇集来自世界各地的主要研究人员。研讨会将提供与主题相关的重要主题的介绍性讲座，以及关于最新发展的更专业的研究讲座。研究生和博士后将特别受益于入门系列讲座，并有机会与该领域的数学家互动。会议的主题领域，模空间的几何和拓扑，是一个非常活跃的领域，继续在当前的数学研究中发挥核心作用。它也吸引了许多新的博士生和博士后研究人员。研讨会为在相关领域工作的不同群体的数学家提供了一个互动、分享想法、开始新的合作和推进该领域的机会。