Conference on "Conformal maps, probability and physics"

“共形图、概率和物理”会议

• 批准号: 1007391
• 负责人: Steffen Rohde
• 金额: $ 3.3万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-03-01 至 2011-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1007391&HistoricalAwards=false
• 关键词: Conference; Conformal; maps; probability; physics

The discovery of Oded Schramm's Stocastic-Loewner-Equation (SLE), which is also referred to as Schramm-Loewner-Evolution, in 1999 led to an enormous activity in probability theory, statistical physics, and conformal mapping. SLE gave mathematicians a tool to verify numerous predictions from theoretical physics,such as Mandelbrots conjecture. At the same time, it gave physicists a deeper understanding of interfaces that appear in critical two-dimensional lattice models, such as self-avoiding walks. An international conference"Conformal maps from probability and physics", centered around theses developments,will be held in Ascona, Switzerland, May 23-28, 2010. The proposal requests partial travel support for U.S. participants to attend thismeeting. The intellectual merit of the proposal lies in the discovery of connections between related but different fields of mathematics and physics.Funds will be used with priority to support the participation of researchers without current NSF support, in particular graduate students and junior faculty. The broader impact consists of the exchange of ideas of researchers from various disciplines, the training of graduate and post-graduate students, and the strengthening across continents of research ties between loosely connected groups.

1999年，Oded Schramm的Stocastic-Loewner方程(SLE)的发现，也被称为Schramm-Loewner演化，导致了概率论、统计物理和保角映射的巨大活动。SLE为数学家提供了一种工具来验证理论物理中的许多预测，例如曼德尔布罗茨猜想。与此同时，它让物理学家对关键的二维晶格模型中出现的界面有了更深的理解，比如自我回避行走。围绕这些发展，将于2010年5月23-28日在瑞士阿斯科纳举行“概率与物理等形图”国际会议。该提案要求为参加这次会议的美国与会者提供部分旅行支持。这项提议的学术价值在于发现了相关但不同的数学和物理领域之间的联系。基金将优先用于支持目前没有NSF支持的研究人员的参与，特别是研究生和初级教职员工。更广泛的影响包括来自不同学科的研究人员交流思想，培训本科生和研究生，以及加强各大洲松散联系的群体之间的研究联系。