Lie Theory and Geometry: The Mathematical Legacy of Bertram Kostant Conference, Vancouver, British Columbia

李理论与几何：Bertram Kostant 会议的数学遗产，温哥华，不列颠哥伦比亚省

基本信息

批准号：
0753720
负责人：
Shrawan Kumar
金额：
$ 3万
依托单位：
University of North Carolina at Chapel Hill
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2008
资助国家：
美国
起止时间：
2008-06-01 至 2009-05-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0753720&HistoricalAwards=false
关键词：
Lie Theory Geometry Mathematical Legacy

项目摘要

AbstractAward: DMS-0753720Principal Investigator: Shrawan Kumar, David A. Vogan, NolanR. WallachThis award provides partial support for US-based students andjunior researchers attending a conference in May 2008 at thePacific Institute of Mathematics (PIMS) in Vancouver, B.C. Themeeting is devoted to Lie theory and related subjects, includinginvariant theory, representation theory in several aspects,symplectic geometry, Kac-Moody Lie algebras and structuresassociated to them such as groups and flag varieties, quantumcohomology of homogeneous spaces, and Dirac cohomology.This international conference is devoted to topics of currentinterest that owe much to the work of Bertram Kostant, who is tobe honored at the meeting. Many of the conference presentationsand much of Kostant's long research career have been devoted toexploring and exploiting symmetries of geometric objects. TheLie groups cited above, named for 19th-century mathematicianSophus Lie, are continuous collections of symmetries, exemplifiedby the full group of rigid motions of the Euclidean plane, or bythe group of all rotations of a three-dimensional sphere. Theweb site of the conference host, the Pacific Institute ofMathematics, is http://pims.math.ca/, and the web site for thisconference is http://pims.math.ca/science/2008/08kostant/.

摘要奖：DMS-0753720首席研究员：Shrawan Kumar、David A. Vogan、NolanR. Wallach 该奖项为参加 2008 年 5 月在不列颠哥伦比亚省温哥华太平洋数学研究所 (PIMS) 举行的会议的美国学生和初级研究人员提供部分支持。会议主要讨论李理论及相关主题，包括不变量理论、几个方面的表示论、辛几何、Kac-Moody李代数及其相关结构，如群和旗簇、齐次空间的量子上同调和狄拉克上同调。致力于讨论当前感兴趣的话题，这些话题很大程度上要归功于伯特伦·科斯坦特（Bertram Kostant）的工作，他将在这次会议上受到表彰。许多会议演讲以及科斯坦特漫长的研究生涯的大部分时间都致力于探索和利用几何对象的对称性。上面引用的李群以 19 世纪数学家索弗斯·李的名字命名，是对称性的连续集合，例如欧几里得平面的完整刚性运动群，或三维球体的所有旋转群。会议主办方太平洋数学研究所的网站为http://pims.math.ca/，本次会议的网站为http://pims.math.ca/science/2008/08kostant/。