Asymptotics in Integrable Systems, Random Matrices and Random Processes, and Universality

该奖项支持美国参加2015年6月7日至11日在蒙特利尔数学研究中心(CRM)举办的“可积系统、随机矩阵和随机过程的渐近性和普适性”研讨会。近年来，在描述波的运动以及大时间或大系统规模的随机相互作用系统(如细菌菌落的扩散或许多带电粒子之间的相互作用)的某些方程的研究中有了一些重要的进展。这些发展背后的数学方法具有令人惊讶的共性。这次研讨会将有20多位不同领域的专家发表演讲，介绍他们最近的研究成果，并讨论未来的努力方向。预计将有大约25名参与者出席，其中包括许多处于早期职业生涯的研究人员。研讨会的目的是推动该领域的发展，并帮助年轻研究人员确定重要和有前途的新研究方向。研讨会的主题包括可积系统、随机矩阵和随机过程，以及它们可能的新应用。在过去的二十年里，这三个领域相互受益。近年来，它们都出现了新的重大发展。研讨会旨在通过召集这三个领域的专家讨论进展和挑战，促进这些新想法和发展的交流。研讨会网站：www.crm.umontreal.ca/2015/Deift15/index_e.php

This award supports U.S. participation in the workshop "Asymptotics in Integrable Systems, Random Matrices and Random Processes, and Universality" held at the Centre de Recherches Mathematiques (CRM), Montreal, during June 7-11, 2015. In recent years there have been several important developments in the study of certain equations describing the motion of waves as well as of large time or large system-size randomly interacting systems (such as the spread of bacterial colonies or the interactions between many electrically charged particles). The mathematical methods underlying these developments have surprising commonalities. This workshop will feature presentations by over two dozen experts in these diverse fields to present their recent research results and discuss directions of future efforts. About 25 more participants are expected to be present, including many researchers in their early careers. The workshop aims to advance the field and also to help the young researchers to identify important and promising new research directions. The topics of workshop include integrable systems, random matrices andrandom processes, and their possible novel applications. These three areas have benefited from each other over the last two decades. In recent years all of them have seen new significant developments. This workshop aims to foster the exchange of these new ideas and developments by bringing together experts in these three areas to discuss progress and challenges.Workshop web site: www.crm.umontreal.ca/2015/Deift15/index_e.php