课题基金 / 基金详情

Geometry and representation theory

Geometry and representation theory
几何与表示论
批准号:
1664317
负责人:
Victor Kac
金额:
$2.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-01-01 至 2017-12-31

项目摘要

项目成果

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中文摘要
翻译
几何与表示理论会议将于2017年1月16日至27日在维也纳大学欧文·薛定谔研究所举行。这个项目是为了支持美国的研究人员参加这次会议。会议的第一周将包括一系列七个小型课程,会议的第二周将是一个研究讲习班。这次会议将促进处于不同职业阶段和不同背景的一大批国际数学家之间的高水平互动和合作。该科学计划将介绍几何表示理论领域的最新和最令人兴奋的成就,并将吸引一些在该领域工作的最杰出和最活跃的研究人员。美国研究人员的参与将有助于增强目前国内数学研究的实力,并支持美国下一代研究人员的发展。这次会议将汇集具有不同背景的表示理论研究人员,并展示表示理论的最新发展,以及与其他数学领域的联系,这些领域利用了李理论的各个分支,如数学物理和代数几何。迷你课程将介绍仿射Grassmanian、几何Satake对应、球面簇、弧空间、D-模和量子群。研讨会将集中于D-模和交上同调、顶点代数、仿射Grassmanian和球簇。近年来,围绕这些主题的活动呈爆炸式增长。在这个快速发展的领域发挥关键作用的科学家将是受邀的演讲者之一。该计划将促进该领域最新成果的传播,并促进和加强来自世界各地从事表示理论、几何和相关主题工作的数学家之间的广泛科学交流和合作。欲了解更多信息,请访问会议网站:http://imsc.uni-graz.at/baur/ESI2017/index.html.。
英文摘要
The conference Geometry and Representation Theory will be held January 16-27, 2017 at the Erwin Schroedinger Institute at the University of Vienna. This project is to support the participation of U.S.-based researchers in the conference. The first week of the conference will consist of a series of seven mini-courses and the second week of the conference will be a research workshop. The conference will foster a high level of interaction and collaboration among a large, international group of mathematicians at different career stages and with different backgrounds. The scientific program will address the newest and most exciting achievements in the field of geometric representation theory and will engage some of the most outstanding and active researchers working in the area. The participation of U.S.-based researchers in this event will contribute to the current strength of domestic mathematical research and support the development of the next generation of researchers in the U.S..The conference will bring together researchers in representation theory with different backgrounds and present recent developments in representation theory with connections to other areas of mathematics that exploit various branches of Lie theory, such as mathematical physics and algebraic geometry. The mini-courses will be on affine Grassmanians, the geometric Satake correspondence, spherical varieties, arc spaces, D-modules, and quantum groups. The workshop will focus on D-modules and intersection cohomology, vertex algebras, affine Grassmanians, and spherical varieties. In recent years, there has been an explosion of activity centered around these themes. Scientists who have played a crucial role in this fast-moving field will be among the invited speakers. The program will advance the dissemination of the newest results in the field and catalyze and strengthen a broad spectrum of scientific exchanges and collaborations between mathematicians from around the world working in representation theory, geometry, and related topics. More information is available on the conference website at http://imsc.uni-graz.at/baur/ESI2017/index.html.
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会议论文
Perspectives in Lie Theory
Algebraic theory of integrable systems. Representations of affine superalgebras and mock theta functions
Algebraic structures arising in physics
Representation theory of infinite-dimensional Lie superalgebras and related algebraic structures
国内基金
海外基金
稀疏表示及其在盲源分离中的应用研究
  • 批准号:
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约化群GL(n, F)的表示--F是非阿基米德局部域
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    60475004
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  • 负责人:
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