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）举行的“可积系统、随机矩阵和随机过程的渐近性和普遍性”研讨会。近年来，在描述波的运动以及大时间或大系统大小的随机相互作用系统（如细菌菌落的传播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有着惊人的共性。本次研讨会将邀请二十多位不同领域的专家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25名以上的参与者出席，其中包括许多刚刚开始职业生涯的研究人员。研讨会旨在推动该领域的发展，并帮助年轻的研究人员确定重要和有前途的新研究方向。工作坊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。这三个领域在过去二十年中相互受益。近年来，它们都有了新的重大发展。本次研讨会旨在通过汇集这三个领域的专家来讨论进展和挑战，促进这些新思想和发展的交流。工作坊网址：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