Interactions Between Representation Theory and Algebraic Geometry

“表示理论和代数几何之间的相互作用”会议将于2017年8月21日至25日在芝加哥大学举行。这将是这两个相互作用的数学分支的研究人员的一次重大聚会。表示论是对几何和物理中对称性的代数研究，它处于现代数学许多重要领域的十字路口。代数几何研究可用多项式方程描述的形状，并将几何思想应用于交换代数和数论。在过去的几十年里，表示理论中的一些重要结果是通过应用代数几何的思想和方法而获得的，相反，许多重要的代数几何问题也得益于表示理论的应用。会议将包括该领域领先专家一小时的讲座、海报演示和初级数学家的晚间演讲。这次会议将促进不同领域和不同职业阶段的数学家之间富有成效的互动，包括博士生和博士后研究人员。会议将讨论表示论和代数几何相互关联的领域以及相关学科的最新发展，包括p-进霍奇理论、算术几何和非交换代数。特别是，将介绍与分类、辛分解、量子化、D-模、箭图变体和朗兰兹计划有关的前沿研究。这次会议的目的不仅是为了传播这项研究，也是为了让初级数学家能够接触到它。该网页为https://sites.google.com/site/2017uchicagomathconference/.

The conference "Interactions between representation theory and algebraic geometry," will take place at the University of Chicago, August 21-25, 2017. It will be a major gathering of researchers in these two interacting branches of mathematics. Representation theory is the algebraic study of symmetries in geometry and physics and is at the crossroads of many important areas of modern mathematics. Algebraic geometry is concerned with the study of shapes that can be described using polynomial equations, and with applying geometric ideas to commutative algebra and number theory. In the past decades, some of the most important results in representation theory have been obtained by applying ideas and methods from algebraic geometry, and conversely many important problems in algebraic geometry have benefited from applying representation theory. The conference will feature one-hour lectures by leading experts in the field, poster presentations, and evening talks by junior mathematicians. The conference will stimulate productive interactions between mathematicians in diverse fields and career stages, including Ph.D. students and postdoctoral researchers.The conference will address recent developments in the interconnected areas of representation theory and algebraic geometry, as well as related subjects, including p-adic Hodge theory, arithmetic geometry and non-commutative algebra. In particular, cutting-edge research related to categorification, symplectic resolutions, quantization, D-modules, quiver varities and the Langlands program will be presented. The conference aims not only to disseminate this research but to make it accessible to junior mathematicians. The webpage is https://sites.google.com/site/2017uchicagomathconference/.