Quantization of Singular Spaces

奇异空间的量化

• 批准号: 1066222
• 负责人: Markus Pflaum
• 金额: $ 2.9万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-04-15 至 2014-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1066222&HistoricalAwards=false
• 关键词: Quantization; Singular; Spaces

AbstractAward: DMS-1066222 Principal Investigator: Markus J. PflaumThe award serves to support participants from the U.S. at theconference and school "Quantization of Singular Spaces" inDecember 2010 at the Center for Quantum Geometry of Moduli Spacesin Aarhus, Denmark.The supported conference will be aimed at recent approaches toquantization of singular spaces. The goal of the conference is toencourage cross-fertilization among various approaches, to bringseemingly independent lines of research together, and to considerwhere the field can go in the future. It is expected to give astrong impetus to innovative work in the field. In addition, theworkshop is aimed at training young researchers in the field byinternationally renowned experts. A mathematically rigoroustheory of singular quantization would have considerablerepercussions. For example, in mathematical physics a betterunderstanding of the nonperturbative structure of gauge theorieswould come within reach, which would be essential preparation forthe construction of quantized Yang--Mills theories and grandunified theories. In mathematics, new index theorems forsingular spaces would emerge, among other.Support for the conference will ensure that experts from theU.S. working in the field of quantization theory will be able tosignificantly contribute to the conference and will profit fromthe exchange of cutting-edge research. Moreover, support for theschool and conference will enable U.S.-based young researchers toparticipate in the special training which will be offered throughthree minicourses on foundational material and recentachievements in the field during a school preceeding theconference. The conference and school in Denmark will alsostrengthen US-Scandinavian research connections and will lead tonew scientific collaborations.Conference webpage:http://qgm.au.dk/events/dec-2010-conference-quantization-of-singular-spaces/

奖项：DMS-1066222首席研究员：Markus J. pflaum该奖项用于支持2010年12月在丹麦奥胡斯模空间量子几何中心举行的“奇异空间量子化”会议和学校的美国参与者。支持的会议将针对奇异空间量化的最新方法。会议的目标是鼓励各种方法之间的交流，将看似独立的研究路线结合在一起，并考虑该领域未来的发展方向。预计它将有力地推动这一领域的创新工作。此外，研讨会旨在由国际知名专家培训该领域的年轻研究人员。一个数学上严谨的奇异量子化理论将会产生相当大的影响。例如，在数学物理中，对规范理论的非摄动结构的更好理解将是可以实现的，这将是构建量子化的杨-米尔斯理论和大统一理论的必要准备。在数学中，奇异空间的新的指数定理将会出现。对会议的支持将确保来自美国的专家。在量化理论领域工作的人将能够为会议做出重大贡献，并将从前沿研究的交流中获益。此外，对学校和会议的支持将使美国的年轻研究人员能够参加特别培训，该培训将在会议前的学校通过三个关于基础材料和该领域最新成就的迷你课程提供。丹麦的会议和学校也将加强美国与斯堪的纳维亚的研究联系，并将引领新的科学合作。会议网站:http://qgm.au.dk/events/dec - 2010 -奇异spaces/会议-量化