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日在马萨诸塞大学阿姆赫斯特分校举行。研讨会的网页是http://www.math.lsu.edu/~pramod/UMass2015/。研讨会将向广大听众介绍与施普林格理论有关的最重要主题，并提供其在表示理论和其他领域应用的最新情况。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进行思想的交叉授粉；(2)促进年轻表征理论研究者对被试的接触；(3)构建东北地区代表性理论的区域网络。该奖项为会议发言人、在美国的研究生、博士后学者、来自数学科学领域代表性不足的群体的学者和没有联邦支持的研究人员的旅行和住宿提供支持。施普林格理论是由T.A.施普林格在20世纪70年代末发展起来的，它有助于解释有限对称群（Weyl群）在控制更复杂相关群（李型有限群、实李群等）的对称性方面的核心作用。施普林格理论及其概括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。本次研讨会将讨论的主题包括Lusztig的字符束理论、施普林格理论与p进群表示理论的联系、仿射施普林格纤维及其应用、几何Langlands规划、全局与椭圆施普林格理论、模施普林格理论与模表示理论的联系、施普林格理论与结理论的联系。

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.