Mathematical Sciences/GIG: Lie Groups, Algebras and Their Representations

摘要：这笔赠款提供的支持将促进区域研讨会“李群，李代数及其表示”的继续和加强，该研讨会已在美国西部运作了几年，并帮助定期建立。李论是现代数学的一个中心学科，在调和分析、数论、代数、微分几何和数学物理的几个方面起着关键作用。研讨会的目标是为研究生和初级研究人员提供机会，利用美国西部在这一领域工作的许多研究人员的专业知识。 这三个CO PI将继续每年在加州大学的各个校区组织四次周末研讨会。这些讲习班将由当地专家和一些外部发言者参加。将向研究生和初级研究人员提供资金，以便利他们参加讲习班，并鼓励他们与高级研究人员进行合作研究。它一直是CO PI的集体经验，在过去几年中，这种类型的活动，创造因为它没有一个独特的机会来学习，是一个特别有效和有益的方式为研究生计划工作在这个重要的分支的数学，以熟悉自己与目前的研究和研究人员谁是生产它。

ABSTRACT : Support provided by this grant will facilitate the continuation and enhancement of the regional workshop "Lie Groups, Lie Algebras and their Representations", which has been operating in the Western US for several years, and help establish it on a regular basis. Lie theory is a central discipline in modern mathematics, playing key roles in harmonic analysis, number theory, algebra, differential geometry and several aspects of mathematical physics. The goals of the workshop are to provide opportunities for graduate students and junior researchers to avail themselves of the expertise of the many researchers who are working in this general area in the Western US. The three CO PI's will continue to organize four weekend workshops per year at various campuses of the University of California. These workshops will feature both local experts and a few outside speakers. Funds will be awarded to graduate students and junior researchers in order to both facilitate attendance at the workshops and to encourage collaborative research with senior researchers. It has been the CO PI's collective experience over the past few years that this type of activity, creating as it does a unique opportunity to learn, is a particularly efficient and beneficial way for graduate students planning to work in this important branch of mathematics to acquaint themselves with both current research and the researchers who are producing it.