Mathematical Sciences: A Research Group in Representation Theory

这一奖项授予利普斯曼、亚当斯、赫伯、库德拉、李、罗森博格教授，由数学科学研究小组发起。它将在表征理论的一系列合作项目中支持博士后、研究生和访问者。具体的主题包括theta对应、对偶对和自同构形式的应用。这项研究将涉及李群表示理论的各个方面。李群是以挪威数学家索菲斯·李的名字命名的，一直是20世纪数学的主要主题之一。作为利用系统固有对称性的数学工具，李群的表示理论对数学本身，特别是在分析和数论方面，以及对理论物理，特别是量子力学和基本粒子物理，都产生了深远的影响。

This award to Professors Lipsman, Adams, Herb, Kudla, Li, Rosenberg is made under the Mathematical Sciences Research Group initiative. It will support postdocs, graduate students, and visitors in a series of collaborative projects in representation theory. Specific topics include theta correspondence, dual pairs, and applications to automorphic forms. The research will deal with various aspects of the representation theory of Lie groups. Lie groups, named in honor of the Norwegian mathematician Sophus Lie, has been one of the major themes in twentieth century mathematics. As the mathematical vehicle for exploiting the symmetries inherent in a system, the representation theory of Lie groups has had a profound impact upon mathematics itself, particularly in analysis and number theory, and upon theoretical physics, especially quantum mechanics and elementary particle physics.