讲座题目🤱🏻：Exotic symmetric spaces associated to classical groups 主讲人：Toshiaki Shoji 教授 主持人👈🏼：舒斌 开始时间🐦⬛：2019-10-11 14:00:00 讲座地址：闵行校区数学楼 401报告厅 主办单位🎯：数学科学学院
报告人简介🧙🏻： Toshiaki Shoji教授是日本著名表示论专家，日本名古屋大学荣休教授🫒。他在Springer理论等研究领域做出深刻、影响深远的研究成果🧎🏻♂️➡️。他是日本数学会代数奖获得者。 报告内容： Let V be a vector space over C and G = GL(V). The variety G/H \times V^{r-1} is called the exotic symmetric space of level r, where H is the symplectic group Sp(V) or the orthogonal group O(V). If r = 1, it is the original symmetric space. Let W_{n,r} be the complex reflection group G(r,1,n), which is the reath product of the symmetric group S_n with the cyclic group Z/rZ. In the case where H = Sp_{2n} , it is known that the theory of the Springer correspondence holds for r = 2 with respect to W_{n,2} : Weyl group of type C_n.In this talk, we discuss a generalization of the Springer correspondence for the exotic symmetric space of level r or H, which involves W_{n,r}. |
