Higher Geometry and Quantum Field Theory-Graduate Students from US Institutions to Participate in GAP 2013, a Summer School in Pittsburgh, PA, in August 2013

高等几何和量子场论 - 来自美国院校的研究生将于 2013 年 8 月参加在宾夕法尼亚州匹兹堡举办的 GAP 2013 暑期学校

• 批准号: 1313629
• 负责人: Hisham Sati
• 金额: $ 0.5万
• 依托单位: University of Pittsburgh
• 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: 2013-08-01 至 2014-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1313629&HistoricalAwards=false
• 关键词: Higher; Geometry; Quantum; Field; Theory

This award is for support of graduate students from US institutions to participate in GAP 2013, a summer school in Pittsburgh, PA, in August 2013. The "Geometry and Physics" (GAP) summer school series has been running successfully for over ten years in various locations around the world. The organizers are planning to host this school in the USA for the first time. The theme of this school will be higher geometry involving some notion of higher categories. Such structures have started to become central in the description of various objects in quantum field theory, string theory and M-theory. For example, stacks and higher gerbes, higher differential characters, and n-bundles, all require categorical notions. The goal of the summer school is to expose students to new and hot ideas of research and provide them the tools needed to attack problems in this area. The main lecturers are leading experts in this area and are excellent expositors. The broader impacts of the activity include training a new generation of students in this interesting and fast-growing area of research. The school has been running outside the US for ten years and the organizers would like to bring it back to the US, thus making it easier for US-based students to benefit from such a useful meeting. The interactions among participants often lead to new collaborations as well as continuation of existing ones. The meeting will be interdisciplinary and the list of speakers will include researchers in various areas such as algebraic topology, differential geometry, algebraic geometry, mathematical physics, and theoretical physics. This will help make more connections among such areas.

该奖项是为了支持来自美国机构的研究生参加2013年8月在宾夕法尼亚州匹兹堡举行的暑期学校GAP 2013。“几何和物理”暑期学校系列已在世界各地成功举办了十多年。主办方计划首次在美国举办这所学校。这所学校的主题将是高等几何涉及一些概念的更高类别。这种结构已经开始成为量子场论、弦论和M理论中描述各种对象的核心。例如，栈和更高的格贝，更高的微分特征和n-丛，都需要范畴概念。暑期学校的目标是让学生接触到新的和热门的研究思想，并为他们提供解决这一领域问题所需的工具。主要讲师都是该领域的顶尖专家，是优秀的讲师。该活动的更广泛影响包括在这一有趣和快速增长的研究领域培训新一代学生。这所学校已经在美国境外运营了十年，组织者希望将其带回美国，从而使美国学生更容易从这样一个有用的会议中受益。参与者之间的互动往往导致新的合作以及现有合作的延续。会议将是跨学科的，发言者名单将包括研究人员在各个领域，如代数拓扑，微分几何，代数几何，数学物理和理论物理。这将有助于在这些地区之间建立更多的联系。