## 表現論セミナー Groups of Lie Type and category $\mathcal{O}$

2013年 　 11月 25日 14時 45分 ～ 2013年 　 11月 25日 16時 15分

I would like to talk about some topics on modular representation theory of finite groups of Lie type in non-defining characteristic.
The main body of this talk is based on joint works with R. Rouquier. In this work, we shall find a certain subcategory of module category $\mathcal{O}_l(G)$of finite groups of Lie type $G$ in non-defining characteristic $l>0$ and find a certain good relationship between category $\mathcal{O}(W)$ of the rational Cherednik algebra associated with the Weyl group $W$ of $G$ and a certain charge.
If I have enough time, I would like to talk about some current developments and conjectures of those modular representation theory.