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.

2018年6月18日至22日，韩国首尔的韩国高等研究院将举办一场关于随机共形几何及相关领域的会议。会议的目的是汇集来自世界各地的领先研究人员，以加强我们对二维平面中表现出共形对称性的随机过程的理解。它将集中在Schramm-Loewner演化的最新发展及其与随机高斯场和理论物理学中的经典共形场论的联系。总之，这些主题一直是统计力学在过去15年中最活跃的领域之一。随机共形几何背后的数学理论是丰富的，与理论物理学、组合学、算子理论、谱理论和许多其他学科密切交织在一起，在这些学科中，新的联系经常出现。会议的智力价值在于它有可能在不同的数学领域建立思想的交叉施肥，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，凝聚态物理和量子计算。会议的一个重要组成部分将是向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开展工作，将产生更广泛的影响。该奖项的资金将使美国的学生和初级研究人员能够参加这次会议。会议网站：http://newton.kias.re.kr/~namgyu/index.html/SLE2018/This奖反映了NSF的法定使命，并已被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估的支持。