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.

60英里会议以非凡的密度和广度汇聚了最高水平的演讲者。这可以说是2008年的终极代数几何事件。迈尔斯·里德从20世纪80年代开始一直是革命性的最小模型程序(MMP)的主要原创者之一，一直持续到今天。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中的佼佼者。事实上，这次会议是与该领域的一位领导者的生日有关的，这保证了演讲者和与会者的名单是真正壮观的。黎曼和他的同时代人已经知道了曲线理论，而曲面理论则是意大利古典学派。表面理论是由科代拉在20世纪60年代完成的。由于在20世纪70年代发现的结果，人们认为类似的理论不可能在二维以上的维度上存在。迈尔斯·里德的工作改变了这一观点，里德和森喜朗以及川端康成、柯拉尔和肖库罗夫都取得了开创性的成果。由于他对这一理论的贡献，森喜朗在1990年获得了菲尔兹奖，以反映该理论在代数几何中所起的重要作用。20世纪80年代，该理论完成了3次，其中大部分是在当时的任意维度上发展起来的，留下了四分之一个世纪的一个中心问题悬而未决。最近，Hacon和McKernan在这个悬而未决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，其中包括大多数MP的主要人物，2名现场奖牌获得者，至少9名ICM演讲者。本次资助的主要目的是使初级研究人员，包括一些研究生，能够参与这一独特的活动。