Conference Proposal: Random Conformal Geometry and Related Fields

会议提案：随机共形几何及相关领域

• 批准号: 1806979
• 负责人: Thomas Alberts
• 金额: $ 2.67万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-05-01 至 2019-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1806979&HistoricalAwards=false
• 关键词: Conference; Proposal; Random; Conformal; Geometry

From June 18-22, 2018 the Korean Institute of Advanced Study in Seoul, South Korea, will host a conference on Random Conformal Geometry and Related Fields. The purpose of the conference is to bring together leading researchers from around the world to strengthen our understanding of random processes in the two-dimensional plane that exhibit conformal symmetries. It will focus on recent developments in Schramm-Loewner evolution and its connections to random Gaussian fields and classical conformal field theory from theoretical physics. Together, these subjects have been one of the most active areas in statistical mechanics in the last fifteen years. The mathematical theory behind random conformal geometry is rich and intimately intertwined with theoretical physics, combinatorics, operator theory, spectral theory, and many other disciplines where new connections are regularly emerging. The intellectual merit of the conference lies in its potential to establish a cross-fertilization of ideas within different areas of mathematics and connect these ideas with theoretical physics and other fields of science. Potential applications of the theory are in materials science, condensed matter physics, and quantum computing. An important component of the conference will be to introduce graduate students and other junior researchers to this exciting new field. Broader impact will be realized through the training of a new generation of students to carry on the work in this important field. Funds from this award will enable the participation of United States based students and junior researchers in this conference. Conference website: http://newton.kias.re.kr/~namgyu/index.html/SLE2018/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

从2018年6月18日至22日，韩国首尔韩国高级研究所将举办一次关于随机保形几何和相关领域的会议。会议的目的是将来自世界各地的领先研究人员汇集在一起​​，以加强我们对表现出保形对称性的二维平面中随机过程的理解。它将重点关注Schramm-Loewner进化的最新发展及其与理论物理学中的随机高斯领域和经典的共形田地理论的联系。在过去的15年中，这些受试者总之是统计力学中最活跃的领域之一。随机保形几何形状背后的数学理论是丰富的，并且与理论物理学，组合学，操作者理论，光谱理论以及许多其他新连接经常出现的学科紧密地交织在一起。会议的智力优点在于它的潜力是在数学的不同领域建立思想的交叉剥夺，并将这些思想与理论物理和其他科学领域联系起来。该理论的潜在应用是在材料科学，凝结物理学和量子计算中。会议的重要组成部分是将研究生和其他初级研究人员介绍这个令人兴奋的新领域。通过培训新一代学生在这一重要领域进行工作，将实现更广泛的影响。该奖项的资金将使以美国的学生和初级研究人员的身份参与本次会议。会议网站：http：//newton.kias.re.kr/~namgyu/index.html/sle2018/this Award反映了NSF的法定任务，并被认为值得通过基金会的知识分子优点和更广泛的影响审查标准通过评估来进行评估。