Representation Theory, Number Theory, and Invariant Theory

该奖项支持参加2015年6月1日至5日在康涅狄格州纽黑文耶鲁大学举行的“表征理论、数字理论和不变理论”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推动，另一方面又受到自同构形式理论的推动，这些理论深深植根于经典分析，并与微分方程有很强的联系。由于涉及的动机、目标和方法的多样性，它在数学的各个分支中都有广泛的应用，连接了许多领域。会议将回顾表示理论在不同学科中的作用，如在过去半个世纪中发展的自同构形式、调和分析和不变量理论，介绍该领域的最新进展，并展望该学科的未来发展。会议将包括世界专家的演讲、与会者之间的讨论和问题会议。这些主题的广泛范围和当前的巨大兴趣将使会议对年轻的数学家们产生启发作用，并刺激该领域的进一步进步。将编写大量议事程序，以使这些结果更容易获得和适用。欲了解更多信息，请访问会议网站：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/