Representation Theory, Automorphic Forms, and Complex Geometry

表示论、自守形式和复几何

• 批准号: 1302848
• 负责人: Benedict Gross
• 金额: $ 3.5万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-05-01 至 2014-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1302848&HistoricalAwards=false
• 关键词: Representation; Theory; Automorphic; Forms; Complex

This funding is for the conference "Representation Theory, Automorphic Forms, and Complex Geometry" to be held at Harvard University from May 20th to 23rd, 2013. There will be approximately 16 speakers and an anticipated 100 participants. The conference will have two major themes. The first consists of recent approaches to understanding the unitary dual of a semisimple Lie group, a fundamental problem in both representation theory and automorphic forms. Several of the talks will describe recent advances in computing the unitary dual, understanding unitarity through Hodge structures, and constructing unitary representations using global methods (for example, via Arthur's conjectures on the discrete spectrum). The second theme is the application of geometric constructions in representation theory to problems in automorphic forms, in particular to analytic number theory and the study of L-functions. We hope that bringing together experts in these various branches of mathematics will encourage collaborations in new directions. By its very nature, the conference seeks to connect different areas of mathematical research, and thus should be useful in exposing researchers of all levels to ideas which have increasing importance. The grant includes funding for graduate student participation, in particular, and also funding for postdocs, young researchers, and mathematicians from underrepresented groups. We hope that the conference will draw not only mathematicians who work directly in these two areas, but also others from neighboring areas of mathematics and mathematical physics. The conference website can be found at http://www.math.harvard.edu/conferences/schmid_2013/index.html

这笔资金用于将于2013年5月20日至23日在哈佛大学举行的“表示理论、自同构形式和复杂几何”会议。大约有16位演讲者，预计有100名与会者。会议将有两大主题。第一部分包括最近对半单李群的酉对偶的理解，这是表示理论和自同构形式中的一个基本问题。一些讲座将描述最近在计算酉对偶、通过Hodge结构理解酉性以及使用全局方法（例如，通过Arthur对离散谱的猜想）构建酉表示方面的进展。第二个主题是表示理论中的几何结构在自同构形式问题中的应用，特别是解析数论和l函数的研究。我们希望汇集这些不同数学分支的专家将鼓励在新方向上的合作。就其性质而言，会议寻求将数学研究的不同领域联系起来，因此应该有助于使各个层次的研究人员接触到日益重要的思想。这项拨款特别包括为研究生的参与提供资金，也包括为博士后、年轻研究人员和来自代表性不足群体的数学家提供资金。我们希望这次会议不仅能吸引直接在这两个领域工作的数学家，还能吸引来自数学和数学物理邻近领域的数学家。会议的网址是http://www.math.harvard.edu/conferences/schmid_2013/index.html