Complex Spaces, Reflections and the Cyclotomic Hecke Algebras
发布时间：2024年07月04日
浏览次数：829
发布者: Wenqiong Li
主讲人： Mengfan Lyu (University of Western Sydney, Australia)
活动时间： 从 2024-07-08 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）78301室
In this talk I will start with the fascinating realms of complex spaces and complex reflection groups. Complex spaces provide a rich playground for investigating symmetries and structures that arise from complex reflections. I will explore the fundamental concepts of complex reflection groups, examining their geometric and algebraic properties. Moreover, I will also introduce the cyclotomic Hecke algebras, which emerge as powerful tools for understanding the symmetries inherent in complex reflection groups. These algebras encode combinatorial and algebraic information about the reflection groups, offering deep insights into their representation theory and geometric properties.
