2014 MIDWEST REPRESENTATION THEORY CONFERENCE, September 5-7, 2014
2014 MIDWEST REPRESENTATION THEORY CONFERENCE, September 5-7, 2014
批准号:
1431425
负责人:
Shmuel Weinberger
金额:
$3.83万
依托单位:
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
项目状态:
已结题
起止时间:
2014-06-15 至 2015-05-31
中文摘要
该奖项将支持演讲者和初级研究人员参加2014年中西部表征理论会议,该会议将于2014年9月5日至7日在芝加哥大学举行。表示理论是作为经典谐波分析的推广而发展起来的,通过它,函数可以分解成它们的基本成分,就像棱镜把光分解成光谱一样。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。这个理论的力量部分来自于它对代数和拓扑与分析相结合的运用。这个(几乎)一年一度的会议一直是该领域专家重要信息的来源,许多合作努力都源于这些会议上的讨论。这是最初的中西部会议的40周年纪念,将纪念丽贝卡A.赫伯的贡献,也将纪念中西部代表理论会议的创始人,保罗J.萨利,Jr.(1933-2013)。受邀的演讲者都将是该领域的领导者,并将反映代表性理论的最新发展。我们希望演讲者报告最近的进展,包括在数论和几何中的应用,以及朗兰兹纲领的现状。涵盖的主题可能包括约化李群的酉表示、Plancherel公式、p进群的可容许表示、伽罗瓦表示、泛函迁移到一般线性群、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/。
英文摘要
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/.
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海外基金