Conference on "Conformal maps, probability and physics"

1999年发现的Oded Schramm的Stocastic-Loewner-Equation（SLE），也被称为Schramm-Loewner-Evolution，导致了概率论，统计物理和保角映射的巨大活动。SLE为数学家提供了一个工具来验证理论物理学的许多预测，例如Mandelbrots猜想。与此同时，它让物理学家对临界二维晶格模型中出现的界面有了更深入的理解，比如自回避行走。一个国际会议“共形地图从概率和物理”，围绕这些发展，将在阿斯科纳，瑞士，2010年5月23日至28日举行。该提案要求为美国与会者参加这次会议提供部分旅行支持。该提案的智力价值在于发现数学和物理学相关但不同领域之间的联系。资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，以及加强各大洲松散联系群体之间的研究联系。

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.