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.

会议60英里汇集了最高口径的发言者在一个不寻常的密度和广度。它可以说是2008年的终极代数几何事件。迈尔斯·里德是革命性的最小模型程序（MMP）的主要原始架构师之一，从20世纪80年代开始，一直持续到今天。这次会议庆祝他的60岁生日，但除了这一场合，也许更重要的是，它汇集了最好的最好的高维代数几何。事实上，这次会议是与该领域的领导人之一的生日是保证，发言者和与会者的名单是真正壮观。MMP是作为一种工具，在代数簇（由代数方程定义的几何对象）的分类。该理论的曲线已经知道黎曼和他的同时代人和曲面的古典意大利学校。表面理论由科代拉在20世纪60年代完成。由于在1970年代发现的结果，人们认为类似的理论在大于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、科拉尔和肖库罗夫（Shokurov）的开创性结果。他的贡献的理论，森获得菲尔兹奖于1990年反映的重要性，该理论在代数几何中发挥作用。该MMP是完成了3倍，在20世纪80年代，其中大部分是发展中国家在任意尺寸在那个时候，留下一个中心问题开放的四分之一的世纪。最近，Hacon和McKernan在这个开放的问题上取得了非凡的突破，这引起了轰动，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）。会议有12位世界著名的演讲者，包括MMP的大多数主要人物，2位领域奖牌获得者至少9位ICM演讲者。目前赠款的主要目的是使初级研究人员，包括一些研究生，能够参加这一独特的活动。