Representation Theory, Automorphic Forms, and Complex Geometry

该基金用于2013年5月20日至23日在哈佛大学举行的“表示论、自守形式和复几何”会议。 将有大约16名发言者和预计100名与会者。 会议将有两大主题。第一个包括最近的方法来理解酉对偶的半单李群，一个基本的问题，在表示论和自守形式。 几个会谈将描述最近的进展，计算酉对偶，理解酉通过霍奇结构，并构建酉表示使用全球的方法（例如，通过亚瑟的离散谱的图解）。第二个主题是应用几何结构在表示论问题的自守形式，特别是解析数论和研究的L-职能。我们希望将这些数学分支的专家聚集在一起，将鼓励在新的方向上进行合作。 就其本质而言，会议旨在连接数学研究的不同领域，因此应该有助于使各级研究人员了解越来越重要的思想。该补助金包括对研究生参与的资助，特别是对博士后，年轻研究人员和来自代表性不足群体的数学家的资助。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其他人。 会议网址为http://www.math.harvard.edu/conferences/schmid_2013/index.html

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