Geometry and representation theory

几何与表示论

• 批准号: 1664317
• 负责人: Victor Kac
• 金额: $ 2万
• 依托单位: Massachusetts Institute of Technology
• 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
• 起止时间: 2017-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1664317&HistoricalAwards=false
• 关键词: Geometry; representation; theory

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.

会议几何和表示理论将于2017年1月16日至27日在维也纳大学埃尔温薛定谔研究所举行。该项目旨在支持美国的参与-研究人员在会议上。会议的第一周将包括一系列的七门迷你课程，会议的第二周将是一个研究研讨会。会议将促进一个大型的，国际数学家群体之间的高水平的互动和合作，在不同的职业阶段和不同的背景。 该科学计划将解决几何表示理论领域最新和最令人兴奋的成就，并将吸引该领域最杰出和最活跃的研究人员。美国的参与-本次活动的研究人员将有助于国内数学研究的当前实力，并支持美国下一代研究人员的发展。会议将汇集研究人员在表示理论与不同的背景和目前的最新发展表示理论与其他数学领域的连接，利用各种分支的李理论，如数学物理和代数几何。迷你课程将仿射格拉斯曼，几何佐竹对应，球形品种，弧空间，D-模块和量子群。研讨会将集中在D-模和交叉上同调，顶点代数，仿射格拉斯曼，和球形品种。近年来，围绕这些主题的活动激增。在这一快速发展的领域发挥关键作用的科学家将成为受邀演讲者之一。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的数学家在表示论，几何和相关主题方面的广泛科学交流与合作。更多信息可在会议网站http://imsc.uni-graz.at/baur/ESI2017/index.html上查阅。