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On u-deformed Kottwitz's involution modules

编辑:wfy 时间:2018年11月26日 访问次数:583

Title: On u-deformed Kottwitz's involution modules

报告人:胡峻 教授(北京理工大学)

时间:2018年11月28日(周三)下午4:00

地点:玉泉校区工商楼105

摘要: Let (W,S) be a Coxeter system and $\ast$ an automorphism of W with order $\leq 2$ and $S^{\ast}=S$.
Lusztig and Vogan have introduced a u-deformed version $M_u$ of Kottwitz's involution module over the Iwahori--Hecke algebra $H_{u}(W)$ with Hecke parameter $u^2$. Lusztig has conjectured that $M_u$ is isomorphic to the left ideal of $H_{u}(W)$ generated by $\sum_{w^*=w\in W}u^{-\ell(w)}T_w$. In this talk I will present some recent progress on this conjecture and its generalization to more general ground base ring.


联系人:李方老师(fangli@zju.edu.cn)