The Cornell Topology Festival

这笔拨款将在2006年春季开始的未来三年里支持康奈尔拓扑学节。在过去的42年里，这个节日在美国东北部的拓扑学家和几何学家的数学生活中一直是一股强大的力量，为代数、微分、几何拓扑学和相关学科领域的广泛成果的发展和传播提供了一个重要的舞台。每年大约有三分之一的会谈将集中在一个特别的重点领域。最近的例子是几何群论（2003），3流形理论（2004）和辛几何和拓扑（2005）。每年的节日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一个入门点，并为所有参与者提供参与感。会议还将邀请发言者进行范围广泛的小组讨论，就会谈中未涉及的新发展提供前瞻性的观点。该节日更广泛的影响包括：(a)一个更广泛训练的拓扑学家社区，能够超越亚专业的界限；(b)更多样化的数学人才队伍；(c)更迅速地将年轻拓扑学家纳入当前的研究领域；(d)加强不同拓扑学领域研究人员之间的合作。有一个外联和支持计划，鼓励代表性不足的群体和年轻研究人员的参与。将通过散发讲习班的讲稿和小组讨论的摘要来扩大电影节的培训效果；节日的主要载体是节日网站，该网站自1997年以来一直持续维护。

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.