Hodge Theory and Classical Algebraic Geometry

霍奇理论与经典代数几何

• 批准号: 1302880
• 负责人: Gary Kennedy
• 金额: $ 2.8万
• 依托单位: Ohio State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-03-01 至 2014-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1302880&HistoricalAwards=false
• 关键词: Hodge; Theory; Classical; Algebraic; Geometry

The Ohio State University will host a conference entitled 'Hodge Theory and Classical Algebraic Geometry' on May 13--15, 2013. The conference will cover Hodge theory, classical algebraic geometry and the interactions between them. The principal topics will include abelian varieties, higher dimensional algebraic geometry, and mirror symmetry. Speakers will address recent progress in approaches to the Hodge conjecture, compactifications of period domains, variations of Hodge structures, algebraicity of Hodge class loci, and normal functions.The goals of the conference are (1) to generate new ideas and collaborations, (2) to formulate and disseminate new problems and directions of research, (3) to involve a new generation of researchers in these subjects. This will be the first event in the U.S. devoted to the progress that has been made in Hodge theory over the past five years, as well as to the applications that it has in other parts of algebraic geometry. One of the central problems in this area is to resolve the Hodge conjecture; this is one of the Millennium Prize Problems of the Clay Mathematics Institute. The conference webpage can be found at http://www.math.osu.edu/conferences/hodge/.

俄亥俄州州立大学将于2013年5月13日至15日举办一个题为“霍奇理论和经典代数几何”的会议。 会议将涵盖霍奇理论，经典代数几何和它们之间的相互作用。 主要议题将包括阿贝尔簇，高维代数几何，镜像对称。 演讲者将讨论最近的进展，方法霍奇猜想，紧致化的周期域，变化的霍奇结构，代数霍奇类轨迹，和正常的功能。会议的目标是（1）产生新的想法和合作，（2）制定和传播新的问题和研究方向，（3）涉及新一代的研究人员在这些科目。 这将是美国首次专门讨论霍奇理论在过去五年中取得的进展及其在代数几何其他部分的应用的活动。 其中一个中心问题，在这方面是解决霍奇猜想，这是一个千年奖的问题，克莱数学研究所。 会议的网页可以在http://www.math.osu.edu/conferences/hodge/上找到。