Workshop on Ergodic Theory; Chapel Hill, NC

摘要：继2002年6月8日至9日成功举办的研讨会之后，我们计划于2003年2月14日至16日在北卡罗来纳大学教堂山分校数学系再举办一次遍历理论研讨会。本学年恰逢Hillel Furstenberg教授退休之年。因此，2003年研讨会的主要议题将是与他在著名的关于等差数列的塞梅雷迪定理的遍历证明中引入的非常规遍历平均相关的问题。我们预计将邀请20位受邀演讲者和10-15名研究生、博士后和初级教师。每个演讲者都应该在他/她的演讲中给出一些新的结果和调查。这样的会谈使初级研究人员能够顺利地介绍到遍历理论中活跃和知名的研究领域。我们也会讨论遍历理论的其他领域，比如分岔理论，有限秩系统和拓扑动力学。那些已经表示愿意参加的名单包括H. Furstenberg教授，V. Bergelson, a . Leibman， B. Kra（初级教员），a . Tempelman等等。与第一次研讨会一样，会议记录将在《当代数学》杂志上发表。这次研讨会将向数学界广泛宣传。霍华德大学做过广告。其他的将公布在不结盟运动和军备警报名单和网站上。我们期待来自代表性不足群体的感兴趣的数学家参与。该研讨会由北卡罗来纳大学教堂山分校数学系提供部分支持。

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.