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/

Abstractaward：DMS-1066222首席研究员：Markus J. Pflaumthe奖奖旨在支持美国的参与者，并在2010年11月在Moduli Spaces of Moduli Space的Indecy and School和学校的“量化奇异空间的量化” Indec. Aarhus，Aarhus，Aarhus，Aarhus，丹麦的Moduli Space中心。会议的目的是在各种方法之间进行Toencourage交叉施用，以将具有独立的独立研究融为一体，并考虑将来该领域可以去哪里。 预计它将为该领域的创新工作带来天文动力。此外，Workshop旨在培训该领域的年轻研究人员，由知名专家培训。 在数学上进行奇异量化的严格理论将具有考虑的震荡。例如，在数学物理学中，可以更好地理解量规理论的非扰动结构，这将是涉及的，这对于构建量化的Yangs-Mills理论和宏伟的理论是必不可少的准备。 在数学方面，新的索引定理将出现，除其他外，会议的支持者将确保来自Theu.S.的专家。在量化理论领域的工作将能够为会议做出重要贡献，并将从尖端研究的交流中获利。 此外，对学院和会议的支持将使总部位于美国的年轻研究人员可以在特殊培训中获得特殊的培训，这将通过三个小型训练提供有关在教会之前的学校期间对该领域的基础材料和最新成绩的小型训练。 丹麦的会议和学校将使美国 - 扫描室的研究联系，并将领导tonew scientific Collaborations.conference网页：http：//qgm.au.dk/events/dec-2010-conperion-2010-conference-quantization-underization-ucquantization-ucquantization-underization-ungrisization-ungrisization-ungrisization-ungrisization-ungrisization-ungiargization-ungiargization-ungriastization-ungrization-unginulin-singular-Spaces/