| Résume | Minimal length elements in a conjugacy of a finite Coxeter group were first studied by Geck-Pfeiffer, which have several remarkable properties with respect to conjugation. These properties are very useful in the study of finite Hecke algebras and Delinge-Lusztig varieties. In this lecture, I will talk about the extensions of such properties in the affine Weyl group case and their applications on affine Hecke algebras and affine Delinge-Lusztig varieties. This is based on joint work with X. He. |
