Prairie Analysis Seminar 2004

2004年草原分析研讨会“草原分析研讨会”是堪萨斯大学和堪萨斯州立大学正在进行的一个联合项目。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刺激的，一定会在谐波分析和相关领域的数学研究中产生进一步的进展。下一次会议将于2004年11月在劳伦斯举行。主讲人是Stephen Waniger。他将讲授谐波分析中的离散问题。这些问题的解决需要使用解析数论的方法，并且涉及到作用于n维整数或齐次群的离散子群上的函数的算子的研究。另外两位受邀的演讲者是Loukas Grafakos他将描述关于极大乘数的结果Akos Magyar将展示一些关于点阵点的Ramsey型结果。所有的主题都是当前对谐波分析感兴趣的，并解决了该领域的重要难题。这个一年一度的会议在地理区域是极其重要的，它正在迅速成为一个具有全国乃至国际声誉的传统。研讨会的结构是为了使主办大学和参与者的成本保持在最低限度，允许广泛的数学家参加。所选的主要演讲者都是各自领域的佼佼者，让所有与会者都有机会了解他们最近的工作。同样重要的是，这次会议将允许参与的研究生和博士后发表演讲，从而提高他们在数学界的知名度和认知度。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是至关重要的。除了来自主要研究机构的研究人员外，前三届会议还吸引了来自整个地区小型大学的许多研究人员。一些参与者是该地理区域小型大学和学院的教员。尽管地理位置偏僻，这些教师中的许多人仍保持着研究事业，并欢迎与其他数学家见面的难得机会。与这些小型大学和学院的紧密联系是互利的，因为这些学校培养了许多优秀的本科生，这些学生可以被数学和科学的研究生教育所吸引。

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.