NSF/CBMS Regional Conference in the Mathematical Sciences Blocks of Finite Reductive Groups, Deligne-Luszig Varieties,and Complex Reflections Groups

巴黎第七大学的米歇尔·布鲁教授将作一系列十场讲座，题目是“块、德利涅-卢斯蒂格变种和反射群”。“在这些讲座中，他将解释最近的进展，在模块化表示理论的有限约化群获得使用德利涅Lusztig品种研究模块化表示这些群体，以及由此获得的结果如何有力地表明存在一种尚未发现的“通用”表示理论，其中有限约化群的模表示理论可以通过特殊化恢复。 他还将把这一进展与模块化表示理论的长期发展联系起来，并讨论未来研究的方向。 讲座应感兴趣的专家和学生在所有领域的有限群表示理论以及研究人员在其他领域，特别是那些有兴趣的各个方面的复杂的反射组。

Professor Michel Broue of the University of Paris VII will give a series of ten lectures entitled "Blocks, Deligne-Lusztig varieties and reflection groups." In these lectures he will explain recent advances in the modular representation theory of finite reductive groups obtained by using Deligne-Lusztig varieties to study the modular representation of these groups, and how the results thus obtained give strong indications that there is an as yet undiscovered "generic" representation theory from which the modular representation theory of finite reductive groups can be recovered by specialization. He will also relate this progress to long-standing conjectures in modular representation theory and discuss directions for future research. The lectures should be of interest to experts and students in all areas of finite group representation theory as well as researchers in other fields, particularly those interested in the various aspects of complex reflection groups.