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Representations of Reductive Groups, May 19-23, 2014.

Representations of Reductive Groups, May 19-23, 2014.
还原基团的表示,2014 年 5 月 19-23 日。
批准号:
1362703
负责人:
George Lusztig
金额:
$5.0万
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:
2014-05-01 至 2015-04-30

项目摘要

项目成果

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中文摘要
翻译
该奖项将资助于2014年5月19日至23日在马萨诸塞州剑桥市的麻省理工学院举行的题为“还原群体的代表”的会议。会议将讨论有限域和局部域上还原李群和代数群的表示理论的发展,以及该理论与其他学科的联系,如数论、自同构形式、代数几何和组合学。该课程将由这些领域的知名专家进行一小时的讲座。该奖项的很大一部分将用于支持当前研究生和最近的博士学位获得者的参与。表征理论是现代数学的中心学科。从历史上看,它的研究源于试图理解对称在物理学中的作用。最近,它已成为解决数论中许多最重要和长期存在的问题的框架。会议将突出这一领域令人兴奋的最新发展,并将吸引初级与会者参与这一主题。会议网页可在http://math.mit.edu/conferences/Vogan/找到。
英文摘要
This award will fund the conference entitled "Representations of Reductive Groups" to be held May 19-23, 2014, at the Massachusetts Institute of Technology in Cambridge, Massachusetts. The conference will address developments in the representation theory of reductive Lie groups and algebraic groups over finite and local fields, as well as connections of this theory with other subjects, such as number theory, automorphic forms, algebraic geometry and combinatorics. It will feature one-hour lectures from renowned experts in these areas. A significant portion of the award will be used to support the participation of current graduate students and recent Ph.D. recipients.Representation theory is a central subject in modern mathematics. Historically, its study arose from attempts to understand the role of symmetry in physics. More recently, it has become the framework to address many of the most important and long-standing questions in number theory. The conference will highlight exciting recent developments in this area, and will draw junior participants into the subject.The conference webpage is available at http://math.mit.edu/conferences/Vogan/ .
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会议论文
Representations of finite reductive groups, character sheaves and theory of total positivity
Geometric Methods in the Representation Theory of Affine Hecke Algebras, Finite Reductive Groups, and Character Sheaves
Geometric Methods in the Representation Theory of Affine Hecke Algebras, Finite Reductive Groups, and Character Sheaves
Mathematical Sciences: Geometric methods in the representation theory of affine Hecke algebras, finite reductive groups and character sheaves
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