The Cornell Topology Festival

这笔赠款将支持康奈尔拓扑节在接下来的三年里，从2006年春天开始。在过去的42年里，该艺术节一直是美国东北部拓扑学家和几何学家数学生活中的一支强大的力量，为发展和传播代数、微分、几何拓扑学和相关学科领域的一系列结果提供了一个重要的舞台。每年大约三分之一的会谈将集中在一个特定的重点领域。最近的例子有几何群论(2003)、3-流形理论(2004)和辛几何与拓扑学(2005)。每年的艺术节将包括两个重点领域的介绍性讲习班，为感兴趣的非专家提供切入点，并为所有参与者提供参与感。它还将包括由受邀发言者进行的广泛的小组讨论，以提供对会谈未涉及的新发展的前瞻性观点。拓扑学节的更广泛影响包括：(A)训练有素的拓扑学家群体，能够超越分专业的界限；(B)数学劳动力更加多样化；(C)年轻的拓扑学家更快地融入当前研究领域；(D)加强不同拓扑学领域的研究人员之间的合作。有一个外展和支持计划，以鼓励代表不足的群体和年轻研究人员的参与。将通过分发讲习班的讲稿和小组讨论的摘要来扩大艺术节的培训效果；这方面的主要工具是艺术节的网站，该网站自1997年以来一直在维护。

This grant will support The Cornell Topology Festival for the next three years, starting in Spring 2006. The Festival has been a strong force in the mathematical life of topologists and geometers in the northeastern United States for the past 42 years, providing a significant arena for the development and dissemination of a broad array of results from within the areas of algebraic, differential, and geometric topology and allied subjects. Each year approximately one-third of the talks will be in a particular area of emphasis. Recent examples are geometric group theory (2003), 3-manifold theory (2004), and symplectic geometry and topology (2005). Each year's Festival will include two introductory workshops in the area of emphasis, to provide a point of entry for interested non-experts and a sense of involvement for all participants. It will also include a broad-ranging panel discussion by the invited speakers, to provide a forward-looking perspective on new developments not covered in the talks. The broader impacts of the Festival include (a) a more broadly-trained community of topologists, able to transcend the boundaries of sub-specialties; (b) a more diverse mathematical workforce; (c) a more rapid integration of younger topologists into areas of current research; and (d) the enhancement of collaboration among researchers in different areas of topology. There is an outreach and support program to encourage the participation of underrepresented groups and young researchers. The training effects of the Festival will be extended by dissemination of lecture notes from the workshops and a summary of the panel discussion; themain vehicle for this is the Festival web site, which has been maintained continuously since 1997.