Prairie Analysis Seminar 2004

2004年草原分析研讨会 PI建议继续进行草原分析研讨会，这是堪萨斯大学和堪萨斯州立大学正在进行的联合项目。该研讨会已经在2001年、2002年和2003年成功举办了三届。在研讨会上进行的科学活动是非常令人兴奋的，一定会产生进一步的数学研究在谐波分析和相关领域的进展。下次会议将于2004年11月在劳伦斯举行。主讲人是Stephen Waniger。他将讲授调和分析中的离散问题。这些问题的解决需要使用的方法从解析数论和有关的研究运营商作用于功能定义的n维整数或离散子群的齐次群。其他两个受邀发言人将Loukas Grafakos谁将描述结果的最大乘数和Akos Magyar谁将提出一些拉姆齐型结果的格点。所有的主题都是当前感兴趣的谐波分析和解决该地区的重要难题。 这一年度会议在地理区域具有极其重要的意义，它正在迅速成为一个传统，具有国家甚至国际声誉。研讨会的结构，以保持成本为主办大学和参与者到最低限度，允许广泛的数学家参加。所选的主要发言人都处于各自领域的最前沿，让所有与会者有机会了解他们最近的工作。同样重要的是，会议将允许参与的研究生和博士后学生提供贡献的演讲，从而提高他们的知名度和认识，他们的工作在数学界。这对于研究生的教育以及那些最近获得博士学位的人来说至关重要。除了来自主要研究机构的与会者外，前三届会议还吸引了来自该地区小型大学的许多研究人员。一些参与者是该地区小型大学和学院的教师。许多这些教师保持研究事业，尽管地理隔离，并欢迎难得的机会，以满足与其他数学家。与这些小型大学和学院的紧密联系是互惠互利的，因为这些学校培养了许多优秀的本科生，可以吸引他们接受数学和科学的研究生教育。

Prairie Analysis Seminar 2004 The PIs propose to continue with the Prairie Analysis Seminar, an ongoing joint project of the University of Kansas and Kansas State University. The seminar already had three previous successful editions in 2001, 2002, and 2003. The scientific activities taking place at the seminar are extremely stimulating and will certain generate further advances in mathematical research in harmonic analysis and related areas. The next meeting will be held in November 2004 in Lawrence. The main speaker is Stephen Waniger. He will lecture about discrete problems in harmonic analysis. These are problems whose solution require the use of methods from analytic number theory and relate to the study of operators acting on functions defined on the n-dimensional integers or discrete subgroups of homogeneous groups. The other two invited speakers will be Loukas Grafakos who will describe results about maximal multipliers and Akos Magyar who will present some Ramsey type results on lattice points. All the topics are of current interest in harmonic analysis and address important difficult problems in the area. This annual conference is of extreme importance in the geographical area and it is quickly becoming a tradition with national and even international reputation. The seminar is structured so as to keep costs for the host university and participants to a minimum, allowing a wide range of mathematicians to attend. The main speakers chosen are at the forefront of their field, giving all in attendance the opportunity to learn of their recent work. Equally important is that the conference will allow the participating graduate and postdoctoral students to give contributed talks, thus increasing their visibility and awareness of their work in the mathematical community. This is of crucial relevance in the education of graduate students as well as for those who have recently obtained their Ph.D. The first three editions of the conference attracted a number of researchers from small universities throughout the region, in addition to those attending from major research institutions. A number of participants are faculty from small universities and colleges in the geographical area. Many of these faculty maintain research careers in spite of geographical isolation and welcome the rare opportunity to meet with other mathematicians. Strong connections with these small universities and colleges are mutually beneficial, as these schools produce many excellent undergraduate students that can be attracted to graduate education in mathematics and sciences.