Workshop on Springer Theory and Related Topics; Amherst, MA; October 9-11, 2015

“施普林格理论及相关主题研讨会”将于2015年10月9日至11日在阿默斯特的马萨诸塞州大学举行。研讨会的网页是http://www.math.lsu.edu/~pramod/UMass2015/。该研讨会将向广大观众展示与施普林格理论相关的最重要的主题，并提供其在表征理论和其他领域的应用的最新信息。该研讨会的目标是：（1）允许在施普林格理论和相关主题的研究人员之间的思想交叉授粉;（2）促进该主题在表征理论中的年轻研究人员的接触;（3）在东北建立表征理论的区域网络。该奖项为会议发言人的旅行和住宿提供支持，以及美国的参与者，他们是研究生，博士后学者，来自数学科学代表性不足的群体的学者，以及没有联邦支持的研究人员。施普林格理论是由T.A. Springer在20世纪70年代后期，它有助于解释有限对称群（Weyl群）在控制更复杂的相关群（有限李群，真实的李群等）的对称性方面的核心作用。施普林格理论及其推广仍然是表征理论的许多现代发展的核心，以及表征理论在邻近领域的应用。 在这次研讨会上要解决的议题包括Lusztig的理论的字符层，斯普林格理论之间的联系和代表性理论的p进群，仿射斯普林格纤维和应用，几何朗兰兹计划，全球和椭圆斯普林格理论，模块化斯普林格理论和连接模块化表示理论，和连接之间的斯普林格理论和结理论。

The "Workshop on Springer Theory and Related Topics" will be held on October 9-11, 2015, at the University of Massachusetts, Amherst. The webpage for the workshop is http://www.math.lsu.edu/~pramod/UMass2015/. The workshop will expose a large audience to the most important themes related to Springer theory and provide updates on its applications in representation theory and other domains. The goals of the workshop are: (1) to allow for cross-pollination of ideas among researchers working in Springer theory and related topics; (2) to facilitate exposure of the subject to young researchers in representation theory; and (3) to build up a regional network in representation theory in the Northeast. This award provides support for the travel and lodging of conference speakers, as well as US-based participants who are graduate students, postdoctoral scholars, scholars from groups underrepresented in the mathematical sciences, and researchers who do not have federal support. Springer theory was developed by T.A. Springer in the late 1970's and it helps explain the central role of a finite symmetry group (the Weyl group) in controlling the symmetries of more complicated related groups (finite groups of Lie type, real Lie groups, and others). Springer theory and its generalizations remain central to many modern developments in representation theory, as well as the application of representation theory in neighboring domains. Topics to be addressed at this workshop include Lusztig's theory of character sheaves, links between Springer theory and the representation theory of p-adic groups, affine Springer fibers and applications, the geometric Langlands program, global and elliptic Springer theory, modular Springer theory and connections to modular representation theory, and connections between Springer theory and knot theory.