Summer School on Hodge Theory

霍奇理论暑期学校

• 批准号: 1001125
• 负责人: Eduardo Cattani
• 金额: $ 2.5万
• 依托单位: University of Massachusetts Amherst
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-04-01 至 2011-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1001125&HistoricalAwards=false
• 关键词: Summer; Hodge; Theory

This grant is to support US participants traveling to the Summer School on Hodge Theory that will take place at the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy, from June 14 to July 3, 2010. The objectives of the Summer School are to give an overview of modern Hodge Theory with an emphasis on integrating the geometric and algebraic aspects and on highlighting the increasing interest on the arithmetic/geometric aspects of the theory. The hope is to present to students the overall framework of the subject and to introduce them to promising areas for future study and research. Thus this summer school on Hodge Theory will provide a unique opportunity for graduate students and young researchers to enter one of the most active areas of current research in algebraic geometry. Hodge theory is an important area of differential and algebraic geometry with deep connections to many fields of mathematics and physics. Hodge theory has involved techniques drawn from algebraic, arithmetic, analytic and diff^erential geometry, as well as from topology and partial di^fferential equations. This summer school on Hodge Theory will provide a unique opportunity for graduate students and young researchers to enter one of the most active areas of current research in algebraic geometry.

这项资助是为了支持美国参与者前往霍奇理论暑期学校，该暑期学校将于2010年6月14日至7月3日在意大利的里雅斯特的Abdus Salam国际理论物理中心（ICTP）举行。暑期学校的目标是概述现代霍奇理论，重点是整合几何和代数方面，并强调对该理论的算术/几何方面日益增长的兴趣。希望向学生展示本学科的总体框架，并向他们介绍未来学习和研究的有前途的领域。因此，这个关于霍奇理论的暑期学校将为研究生和年轻研究人员提供一个独特的机会，让他们进入当前代数几何研究中最活跃的领域之一。霍奇理论是微分几何和代数几何的一个重要领域，与数学和物理的许多领域有着深刻的联系。霍奇理论涉及的技术来自代数、算术、解析几何和微分几何，以及拓扑学和偏微分方程。这个关于霍奇理论的暑期学校将为研究生和年轻研究人员提供一个独特的机会，让他们进入当前代数几何研究中最活跃的领域之一。