2014 MIDWEST REPRESENTATION THEORY CONFERENCE, September 5-7, 2014

2014年中西部代表理论会议，2014年9月5-7日

• 批准号: 1431425
• 负责人: Shmuel Weinberger
• 金额: $ 3.83万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-15 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1431425&HistoricalAwards=false
• 关键词: 2014; MIDWEST; REPRESENTATION; THEORY; CONFERENCE

This award will support participation of speakers and junior researchers in the 2014 Midwest Representation Theory Conference, to be held September 5-7, 2014 at the University of Chicago. Representation theory developed as a generalization of classical harmonic analysis, through which functions can be decomposed into their elementary components, much as a prism breaks light into its spectrum. The theory found wide applications in physical sciences (such as quantum mechanics) and in other areas of mathematics (notably number theory and geometry). The power of the theory comes, in part, from its utilization of algebra and topology in concert with analysis. This (almost) annual conference has been a source of important information for experts in the field, and many collaborative efforts have originated from discussions at these meetings.This, the 40th anniversary of the original Midwest Conference, will honor the contributions of Rebecca A. Herb, and it will also be in memory of the Midwest Representation Theory Conference founder, Paul J. Sally, Jr. (1933-2013). The invited speakers will all be leaders in the field and will reflect recent developments in representation theory. We expect speakers will report on recent progress, including applications to number theory and geometry, and the state of the Langlands Program. Topics covered may include unitary representations of reductive Lie groups, Plancherel formula, admissible representations of p-adic groups, Galois representations, functorial transfer to general linear groups, Theta-correspondences, orbital integrals, and Fourier transforms. The conference webpage is located at the following address: http://www.math.lsa.umich.edu/MRTC_2014/.

该奖项将支持演讲者和初级研究人员参加2014年中西部代表理论会议，将于2014年9月5日至7日在芝加哥大学举行。 表示论是作为经典调和分析的推广而发展起来的，通过它可以将函数分解成它们的基本分量，就像棱镜将光分解成光谱一样。 该理论在物理科学（如量子力学）和其他数学领域（特别是数论和几何）中得到了广泛的应用。 该理论的力量部分来自于它对代数和拓扑学与分析的结合。 这个（几乎）年度会议一直是该领域专家的重要信息来源，许多合作努力都源于这些会议的讨论。这是最初的中西部会议40周年，将荣誉丽贝卡A。赫伯，它也将在内存的中西部代表理论会议的创始人，保罗j萨利，小。（1933-2013年）。 受邀的演讲者都将是该领域的领导者，并将反映表征理论的最新发展。 我们期望演讲者将报告最近的进展，包括数论和几何的应用，以及朗兰兹纲领的状况。 所涵盖的主题可能包括约化李群的酉表示，Plancherel公式，p-adic群的容许表示，Galois表示，函子转移到一般线性群，θ-对应，轨道积分和傅立叶变换。 会议网页位于以下地址：http://www.math.lsa.umich.edu/MRTC_2014/。