International travel support for US researchers to attend '60 Miles,' London, July 2008

为美国研究人员参加“60 英里”活动提供国际旅行支持，伦敦，2008 年 7 月

• 批准号: 0813494
• 负责人: Sandor Kovacs
• 金额: $ 2.5万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-04-01 至 2009-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0813494&HistoricalAwards=false
• 关键词: International; travel; support; US; researchers

ABSTRACTThe conference 60 Miles brings together the highest caliber speakers in an unusual density and broadness. It is arguably the ultimate algebraic geometry event of 2008.Miles Reid has been one of the main original architects of the revolutionary Minimal Model Program (MMP) starting in the 1980s and continuing today. This conference celebrates his 60th birthday, but beyond that occasion, perhaps more importantly, it brings together the best of the best in higher dimensional algebraic geometry. The fact that this conference is related to the birthday of one of the leaders of the field is assurance that the list of speakers and participants is truly spectacular.The MMP was developed as a tool in the classification of algebraic varieties (geometric objects defined by algebraic equations). The theory for curves was already known to Riemann and his contemporaries and for surfaces the classical Italian school. The surface theory was completed by Kodaira in the 1960s. Due to results discovered in the 1970s, it was believed that a similar theory was not possible in dimensions higher than two. That view was altered by the work of Miles Reid and lead to groundbreaking results by Reid and Mori as well as by Kawamata, Kollar and Shokurov. For his contribution to the theory, Mori received the Fields Medal in 1990 reflecting on the importance the theory plays in algebraic geometry.The MMP was completed for 3-folds in the 1980s and most of it was developed in arbitrary dimension at that time, leaving one central problem open for a quarter of a century. Recently Hacon and McKernan achieved an extraordinary breakthrough on that open problem which created a buzz and rekindled interest in the development of the theory (interest in its applicationa never faded).The conference features 12 world famous speakers including most of the major figures in MMP, 2 Field Medalists at least 9 ICM speakers. The present grant's main purpose is to make it possible for junior researchers, including some graduate students to participate in this unique event.

摘要 60 英里会议以不同寻常的密度和广度汇聚了最顶尖的演讲者。这可以说是 2008 年代数几何的终极盛事。Miles Reid 是革命性最小模型程序 (MMP) 的主要原始架构师之一，该程序从 20 世纪 80 年代开始一直延续至今。这次会议庆祝了他的 60 岁生日，但除此之外，也许更重要的是，它汇集了高维代数几何领域最优秀的人才。事实上，这次会议与该领域一位领导者的生日有关，这一事实保证了发言者和参与者的名单确实很壮观。MMP 是作为代数簇（由代数定义的几何对象）分类的工具而开发的。方程）。黎曼和他的同时代人已经知道曲线理论，古典意大利学派也已经知道曲面理论。表面理论由小平于 20 世纪 60 年代完成。根据 20 世纪 70 年代发现的结果，人们相信类似的理论在高于 2 的维度中是不可能的。迈尔斯·里德（Miles Reid）的工作改变了这一观点，并导致里德和莫里以及川俣、科拉尔和肖库洛夫取得了突破性的成果。由于对该理论的贡献，Mori 于 1990 年获得了菲尔兹奖，反映了该理论在代数几何中的重要性。MMP 在 20 世纪 80 年代完成了 3 次，其中大部分在当时在任意维度上发展，留下了有一个核心问题已经存在了四分之一个世纪了。最近，Hacon 和 McKernan 在这个开放问题上取得了非凡的突破，引起了轰动，并重新点燃了人们对该理论发展的兴趣（对其应用的兴趣从未消退）。这次会议有 12 名世界著名的演讲者，其中包括 MMP 的大多数主要人物， 2 名田径奖牌获得者至少 9 名 ICM 演讲者。目前拨款的主要目的是让初级研究人员，包括一些研究生，能够参与这一独特的活动。