Workshop on Ergodic Theory; Chapel Hill, NC

摘要：0307872号提案(遍历理论会议)摘要作为我们在2002年6月8-9日成功组织的研讨会的后续行动，我们计划于2003年2月14-16日在北卡罗来纳大学教堂山数学系举办一个关于遍历理论的研讨会。本学年恰逢希勒尔·弗斯滕伯格教授退休之年。因此，2003年研讨会的主要主题将是与非常规遍历平均有关的问题，他在其著名的Szmeredi算术级数定理的遍历证明中引入了这一点。我们预计将邀请20名演讲者和10-15名研究生、博士后和初级教师。每位演讲者将在他/她的演讲中结合新的结果和调查。这样的讲座允许初级研究人员顺利地被介绍到遍历理论中活跃的和众所周知的研究领域。我们还将讨论遍历理论的其他领域，如分歧理论、有限秩系统和拓扑动力学。已经表示希望参与的人员名单包括H.Furstenberg教授、V.Berelson、A.Leibman、B.Kra(初级教员)、A.Tempelman等等。与第一期研讨会一样，会议记录将与《当代数学》一起出版。该研讨会将向数学界广泛宣传。霍华德大学已经制作了广告。其他的将张贴在不结盟运动和AARMS名单和网站上。我们期待来自代表性不足群体的感兴趣的数学家参与其中。该讲习班由北卡罗来纳大学教堂山数学系提供部分支助。

ABSTRACT: Prop 0307872 (Conference on Ergodic Theory) ABSTRACTAs a follow up of the successful workshop we organized on June 08-09 2002, we areplanning a workshop on ergodic theory at the Department of Mathematics at UNC Chapel Hill on February 14-16, 2003. This academic year coincides with the retirement year of Prof. Hillel Furstenberg. Hence the main topic at the 2003 workshop will be on problems related to the nonconventional ergodic averages he introduced in his famous ergodic proof of Szemeredi's theorem on arithmetic progressions. We expect to bring together 20 invited speakers and 10-15 graduate students, Post Doc and junior faculty .Each speaker is expected to give in his/her talk a mix of new results and surveys. Such talks allow junior researchers to be introduced smoothly to active and well known research areas in ergodic theory. We will also have talks in other areas of ergodic theory such as bifurcation theory, finite rank systems and topological dynamics. The list of those having already expressed their desire to participate includes Prof. H. Furstenberg, V. Bergelson, A. Leibman, B. Kra (Junior faculty), A. Tempelman to name a few. As in the first workshop, proceedings of the conference will be published with Contemporary Mathematics. The workshop will be advertised broadly to the mathematics community. Advertisements have been made at Howard University. Others will be posted on the NAM and AARMS lists and web sites. We expect interested mathematicians from underrepresented groups to participate. The workshop is partially supported by the Department of Mathematics at UNC Chapel Hill.