Conference on Advances in Geometric Representation Theory

几何表示理论进展会议

• 批准号: 1600220
• 负责人: Sarah Kitchen
• 金额: $ 3.5万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-03-01 至 2017-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1600220&HistoricalAwards=false
• 关键词: Conference; Advances; Geometric; Representation; Theory

The conference "Advances in geometric representation theory" will be held May 8-13, 2016 at the University of Michigan. Geometric representation theory is the study of symmetry via geometric spaces. It is an expanding branch of mathematics with wide-reaching applications and connections to other fields. The timing of the conference has been chosen in anticipation of the first results emerging from the 2014 program in geometric representation theory at the Mathematical Sciences Research Institute in Berkeley, as well as intensive semester programs in Canada and Sweden. The conference will provide a venue to disseminate major new results in this rapidly developing field of mathematics and make the corresponding new methods and points of view available to a broad range of researchers. In particular, the organizers will make specific efforts to include graduate students and post-docs, as well as members of underrepresented groups.Classically, problems of classification of representations have been attacked with a wide variety of algebraic, analytic, and combinatorial methods. Since the more recent discovery of equivalences with geometric objects such as D-modules, the door has been opened to the application of powerful tools from geometry, such as Hodge theory and the decomposition theorem. The conference will focus on these recent developments. New categorical techniques and relationships to physics and algebraic geometry will draw the participation of researchers from those fields, which will contribute to further interdisciplinary interactions. The conference website is http://www-personal.umich.edu/~snkitche/Conference/.

“几何表示理论的进展”会议将于2016年5月8日至13日在密歇根大学举行。几何表示理论是通过几何空间研究对称性的理论。它是数学的一个不断扩展的分支，有着广泛的应用和与其他领域的联系。选择这次会议的时机是为了迎接伯克利数学科学研究所2014年几何表示理论项目的首批成果，以及加拿大和瑞典的密集学期项目。会议将提供一个场所，传播这一迅速发展的数学领域的重大新成果，并向广泛的研究人员提供相应的新方法和新观点。特别是，组织者将特别努力包括研究生和博士后，以及代表性不足的群体的成员。传统上，表示的分类问题已经用各种各样的代数、分析和组合方法来解决。自从最近发现了与几何对象(如D-模)的等价性以来，就向应用几何的强大工具敞开了大门，如Hodge理论和分解定理。会议将重点关注这些最近的事态发展。新的分类技术和与物理和代数几何的关系将吸引来自这些领域的研究人员的参与，这将有助于进一步的跨学科互动。会议网址为：http://www-personal.umich.edu/~snkitche/Conference/.