Conference on "Conformal maps, probability and physics"

1999年，Oded Schramm的随机- loewner方程（SLE）的发现，也被称为Schramm- loewner - evolution，引发了概率论、统计物理和保角映射领域的巨大活动。SLE为数学家提供了一种工具来验证理论物理学中的许多预测，例如曼德尔布罗茨猜想。同时，它让物理学家对出现在关键二维晶格模型中的界面有了更深入的理解，比如自我回避行走。2010年5月23日至28日，将在瑞士的阿斯科纳举行一场国际会议，主题是“概率与物理的共形图”。提案要求为美国与会者参加本次会议提供部分旅费支持。这一建议的智力价值在于发现了相关但不同的数学和物理学领域之间的联系。资金将优先用于支持没有当前NSF支持的研究人员的参与，特别是研究生和初级教师。更广泛的影响包括来自不同学科的研究人员的思想交流，研究生和研究生的培训，以及加强各大洲之间松散联系的研究联系。

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.