Clifford Conference in Gauge Theory and Low Dimensional Topology

克利福德规范理论和低维拓扑会议

• 批准号: 9704424
• 负责人: Terry Lawson
• 金额: $ 0.6万
• 依托单位: Tulane University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 1998-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704424&HistoricalAwards=false
• 关键词: Clifford; Conference; Gauge; Theory; Low

9704424 Lawson This award is to provide partial support for a week long conference in gauge theory and low dimensional topology at Tulane University in the fall semester of 1997. The conference will be held in conjunction with the annual Clifford Lectures, given this year by Peter Kronheimer. Gauge theory has been the source of dramatic advances in low dimensional topology in recent years, and the work of Kronheimer and Tomasz Mrowka has been fundamental, particularly their settling of the Thom conjecture. A dozen other significant contributors to this area will give major talks, and additional shorter talks will round out the program. Despite the fact that we live in a universe of three spatial dimensions and one time dimension and have available all the intuition that this experience provides us, three and four dimensional objects have remained remarkably resistant to full understanding. In fact, mathematicians have found that in some respects higher dimensional spaces are more tractable, whereas some of the analytic tools available in higher dimensions cannot be used in dimensions three and four. This means that other methods that will apply in these so-called low dimensions are at a premium and is what makes so important the gauge theoretic methods first introduced by Simon Donaldson and more recently strikingly simplified by Nathan Seiberg and Edward Witten. ***

9704424 Lawson 该奖项旨在为 1997 年秋季学期在杜兰大学举行的为期一周的规范理论和低维拓扑会议提供部分支持。该会议将与今年由 Peter Kronheimer 主持的年度克利福德讲座同时举行。 近年来，规范理论一直是低维拓扑学取得巨大进展的源泉，克朗海默和托马斯·姆罗卡的工作具有基础性，特别是他们对托姆猜想的解决。 该领域的其他十几个重要贡献者将发表重要演讲，其他简短的演讲将使该计划更加完善。 尽管我们生活在一个具有三个空间维度和一个时间维度的宇宙中，并且拥有这种经验为我们提供的所有直觉，但三维和四维物体仍然非常难以完全理解。 事实上，数学家发现，在某些方面，高维空间更容易处理，而一些高维可用的分析工具不能在第三维和第四维中使用。 这意味着适用于这些所谓的低维度的其他方法非常宝贵，这也是西蒙·唐纳森首先提出的、最近由内森·塞伯格和爱德华·维滕提出的规范理论方法如此重要的原因。 ***