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

这项资金是针对2013年5月20日至23日在哈佛大学举行的“代表理论，自动形式和复杂几何形状”的“代表理论，自动形式和复杂的几何形式”的。将有大约16位发言人和预期的100名参与者。 会议将有两个主要主题。第一个组成的方法是了解半圣谎言群体的统一双重偶的方法，这是表示理论和自动形式的基本问题。 一些谈判将描述在计算单一双重双重，通过霍奇结构理解单位性以及使用全局方法构建单一表示的最新进展（例如，通过Arthur在离散频谱上的猜想）。第二个主题是在表示理论中的几何构建体应用于自态形式的问题，尤其是分析数理论和L功能的研究。我们希望将这些数学各个分支机构的专家汇集在一起​​，将鼓励在新方向上进行合作。 就其本质而言，会议试图将数学研究的不同领域联系起来，因此对于将各个层面的研究人员暴露到重要性越来越大的思想方面应该很有用。该赠款包括用于研究生参与的资金，尤其是资金，还包括来自代表性不足的小组的博士后，年轻研究人员和数学家的资金。我们希望会议不仅会吸引直接在这两个领域工作的数学家，而且还会吸引其他数学和数学物理学领域的数学家。 会议网站可以在http://www.math.harvard.edu/conferences/schmid_2013/index.html上找到