Workshop: Hodge Theory and Logarithmic Geometry; March, 2005; Baltimore, MD

研讨会：霍奇理论与对数几何；

• 批准号: 0443197
• 负责人: Steven Zucker
• 金额: $ 2万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-12-15 至 2005-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0443197&HistoricalAwards=false
• 关键词: Workshop; Hodge; Theory; Logarithmic; Geometry

The Johns Hopkins University Department of Mathematics, together withthe Japan-U.S. Mathematics Institute (JAMI), will hold a conferenceand workshop in March 2005 under the title "Hodge Theory andLogarithmic Geometry". It will be organized by the PrincipalInvestigator and three mathematicians from Japan.Hodge theory has emerged in the past twenty years or so as arecognized field of mathematics. It will be the main focus of theconference. Each aspect of Hodge theory has interface with one ormore of the following diverse areas of mathematics: algebraic andcomplex geometry, automorphic forms, differential geometry, functionalanalysis, homological algebra, mathematical physics, and number theory.Logarithmic geometry is a somewhat recent notion that treats, in aunified way, certain notions of "going to infinity" in a space. Ithas been used successfully by Kato and Usui to attach a boundary tothe classifying spaces for Hodge structures, a problem that had beenaround for some thirty years. It seems to be the right time to drawmore attention to the increasing role of logarithmic geometry inHodge-theoretical situations. That is intended, however, withoutconstricting the scope of the conference.

约翰霍普金斯大学数学系与日美合作。数学研究所（JAMI）将于2005年3月举行题为“霍奇理论与对数几何”的会议和研讨会。它将由首席研究员和三名来自日本的数学家组织。霍奇理论是近二十年来出现的一个公认的数学领域。这将是会议的主要焦点。霍奇理论的每个方面都与以下一个或多个不同的数学领域有联系：代数和复杂几何、自同构形式、微分几何、泛函分析、同调代数、数学物理和数论。对数几何是一个比较新的概念，它以统一的方式处理空间中“趋于无穷”的某些概念。加藤和臼井成功地利用它为霍奇结构的分类空间附加了一个边界，这个问题已经存在了大约30年。现在似乎是时候让人们更多地关注对数几何在霍奇理论中日益重要的作用了。不过，这样做的目的是不限制会议的范围。