Representation Theory, Number Theory, and Invariant Theory

该奖项支持参加2015年6月1-5日在康涅狄格州纽黑文耶鲁大学举行的“表示理论、数论和不变理论”会议。李群的表示理论是当前数学中的一个中心课题。这一理论一方面受到物理学的启发，另一方面受到自同构形式理论的启发，它深深植根于经典分析，与微分方程有着密切的联系。由于动机、目标和方法的多样性，它广泛应用于数学的各个分支，连接了许多领域。会议将回顾过去半个世纪以来表征理论在自同构形式、谐波分析和不变理论等各学科中的作用，介绍该领域的最新进展，并展望该学科的未来发展。会议将包括来自世界专家的演讲、与会者之间的讨论和问题讨论。主题的广泛性和当前的巨大兴趣将使会议对年轻数学家产生启发，并刺激该领域的进一步发展。将编写一卷论文集，目的是使这些结果更容易获得和适用。更多信息可在会议网站上找到：http://web.mit.edu/juleekim/www/Howe70/

This award supports participation in the conference "Representation Theory, Number Theory, and Invariant Theory," taking place June 1-5, 2015 at Yale University, New Haven, CT. Representation theory of Lie groups is a central subject in current mathematics. The theory is motivated on one hand by physics and on the other by the theory of automorphic forms, with deep roots in classical analysis and with strong ties to differential equations. Thanks to the diversity of motivations, goals, and methods involved, it has broad applications to a variety of branches of mathematics, bridging many areas. The conference will review the role of representation theory in various disciplines such as automorphic forms, harmonic analysis, and invariant theory developed over the past half a century, present recent progress in this field, and chart future developments in the subject. The meeting will feature lectures from world experts, discussion sessions among participants, and problem sessions. The broad spectrum and great current interest of the topics will make the conference inspiring for young mathematicians and stimulate further progress in the field. A volume of proceedings, intended to make these results more accessible and applicable, will be produced. Additional information can be found at the conference website: http://web.mit.edu/juleekim/www/Howe70/