The Third Ahlfors-Bers Colloquium; May 19-22, 2005; Ann Arbor, MI

第三届 Ahlfors-Bers 座谈会；

• 批准号: 0456262
• 负责人: Richard Canary
• 金额: $ 2.5万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-04-01 至 2006-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0456262&HistoricalAwards=false
• 关键词: Third; Ahlfors; Bers; Colloquium; May

The Ahlfors-Bers Colloquium commemorates the mathematical legacy ofLars Ahlfors and Lipman Bers. The core of this legacy lies in thefields of geometric function theory, Teichmuller theory, hyperbolicmanifolds, and partial differential equations. However, their workhas impacted and created interactions with many other fields, such as algebraicgeometry, mathematical physics, dynamics, geometric group theory,number theory and topology. The last several years have been aperiod of intense activity and progress in the field. Recentprogress includes the solutions of Thurston's Ending LaminationConjecture, the Bers-Sullivan-Thurston Density Conjecture, and Marden'sTameness Conjecture, the determination of the spherical Bloch constant,a proof of the conformal invariance of percolation, a proof of thequasi-isometric rigidity of mapping class groups and the discovery ofthe relationship between Weil-Petersson Geometry and the Witten-KontsevichconjectureThe Colloquium will serve as a venue for the dissemination of theseresults and the consideration of future directions in the field.Twelve plenary lectures will be given by leaders in the field.Smaller workshops will provide an excellent opportunity for youngmathematicians to disseminate their work and to interact with otheryoung mathematicians, as well as the established researchers in the field.

该Ahlfors-Bers座谈会纪念数学遗产ofLars Ahlfors和Lipman Bers。这一遗产的核心在于领域的几何函数理论，Teichmuller理论，双曲流形，偏微分方程。然而，他们的工作已经影响并创造了与许多其他领域的互动，如代数几何，数学物理，动力学，几何群论，数论和拓扑学。 过去几年是这一领域活动密集和取得进展的时期。最近的进展包括Thurston的终层猜想、Bers-Sullivan-Thurston密度猜想和马尔登的Tameness猜想的解，球形Bloch常数的确定，渗流共形不变性的证明，证明了映射类群的拟等距刚性，并发现了Weil-Petersson几何与维滕几何的关系。学术讨论会将作为传播这些成果和考虑该领域未来方向的场所。该领域的领导人将作12次全体演讲。小型研讨会将为非线性数学家提供传播其工作和交流的绝佳机会与其他年轻的数学家，以及在该领域的既定研究人员。