Conference on Advances in Geometric Representation Theory

“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。它是数学的一个不断扩展的分支，具有广泛的应用和与其他领域的联系。之所以选择这次会议的时间，是因为预计2014年伯克利数学科学研究所（Mathematical Sciences Research Institute）的几何表示理论项目以及加拿大和瑞典的密集学期项目将产生首批成果。会议将提供一个场所，传播在这个快速发展的数学领域的主要新成果，并使相应的新方法和观点可供广泛的研究人员使用。特别是，组织者将做出具体努力，包括研究生和博士后，以及代表性不足的群体的成员。经典地，表示的分类问题已经用各种各样的代数、解析和组合方法进行了研究。由于最近发现了与几何对象（如d模）的等价性，因此已经打开了应用强大的几何工具（如Hodge理论和分解定理）的大门。会议将集中讨论这些最近的发展。新的分类技术以及与物理和代数几何的关系将吸引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。会议网站是http://www-personal.umich.edu/~snkitche/Conference/。

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/.