On the second lowest two-sided cell of an affine Weyl group 同题参见
主 讲 人 ：谢迅 副教授
活动时间：07月19日11时00分
地 点 ：数学科学开云手机网官网采用教程D102室
讲座内容：
Let G be a connected reductive group and e be a nilpotent element in the Lie algebra of G. Let F_e be a maximal reductive subgroup of the centralizer of e in G. Let W be the extended affine Weyl group associated to G, and c the two-sided cell of W corresponding to e. Lusztig conjectured that the based ring J_c of c should be isomorphic to a F_e-equivarant K-group on the square of a finite set Y_e (G simply-connected). Bezrukavnikov and Ostrik proved a weaker form of this conjecture in 2004, by introducing an additional centrally extended structure. We prove that when e lies in the minimal nilpotent orbit, this centrally extended structure is trivial, and hence Lusztig’s conjecure holds for the second lowest cell. As a corollary, we confirm a conjecture posed by Jianyi Shi in 2011 that the the number of left cell in the second lowest two-sided cell is half cardinality of the finite Weyl group. This is joint work with Qianfan Zhou.
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主讲人介绍：
谢迅，北京理工大学副教授。 同题参见研究领域：李理论, 主要研究Hecke代数的Kazhdan-Lusztig基及其相关问题。代表性成果发表在著名综合期刊IMRN、Adv. Math.。以及代数专业杂志J. Algebra、Representation theory等。主持开云手机网官网使用教程青年基金与开云手机网官网使用教程面上项目各一项。