Prairie Analysis Seminar 2005

摘要草原分析研讨会是美国堪萨斯州立大学和美国堪萨斯大学的联合项目，2001-2004年已成功举办了四届年会。2005年会议将于10月14日至15日在堪萨斯州立大学举行。主讲人是芝加哥大学的卡洛斯·凯尼格他将做两个一小时的讲座。Kenig教授在调和分析以及调和分析和分析技术在偏微分方程（包括非线性演化方程和自由边界问题）中的应用方面的工作广泛而深远。多伦多大学的James Colliander教授和威斯康辛大学的Alexandru Ionescu教授将分别就与Kenig讲座相关的主题进行一小时的讲座。会议将征求有贡献的谈话，会议将包括一个讨论和开放问题的会议。微分方程为物理学、工程学乃至整个科学领域提供了数学模型。解决方案或解决方案的行为的理解可以洞察被建模的物理系统，并可用于预测行为。邀请的主要讲师以其使用分析和谐波分析技术来研究数学模型中出现的各种方程而闻名，这使得这次会议对几个领域的研究人员感兴趣：微分方程及其模型，分析和谐波分析。由于会议的质量以及该地区缺乏其他会议和分析会议，特别是在秋季，该年度会议在地理区域已变得重要。草原分析研讨会现在正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，会议将允许与会者发表有贡献的演讲。这对于研究生、博士后研究人员和那些职业生涯早期的人来说，提高他们在数学界的知名度和意识是至关重要的。前四届会议吸引了来自该地区小型大学和学院的一些研究人员，以及来自主要研究机构的研究人员。尽管地理位置偏僻，许多教员仍坚持从事研究工作，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，他们可以被数学和科学的研究生教育所吸引。计划的社会活动将增加科学互动，并促进参与者之间有用的个人联系。

ABSTRACTThe Prairie Analysis Seminar, an ongoing joint project of Kansas StateUniversity and the University of Kansas, has had four very successfulannual meetings in 2001-2004. The 2005 meeting will be held at KansasState University on October 14-15. The main speaker is Carlos Kenig ofthe University of Chicago who will give two one-hour lectures. Professor Kenig's work is broad and far reaching in the field of harmonic analysis and the application of harmonic analysis and analysis techniques to partial differential equations, including non-linear evolution equations and free boundary problems. Professors James Colliander of the University of Toronto and Alexandru Ionescu of the University of Wisconsin will each give a one-hour lecture on topics related to Kenig's lecture. Contributed talks will be solicited and the conference will include a session on discussion and open problems.Differential equations provide mathematical models in physics,engineering, and indeed throughout the sciences. Solutions or anunderstanding of the behavior of solutions can give insight into thephysical system being modeled and can be used to predict behavior. Themain lecturers invited are known for their uses of analysis and harmonic analysis techniques to study a variety of equations that arise in mathematical models, making this conference of interest to researchers in several fields: differential equations and their models, analysis, and harmonic analysis. This annual conference has become important in the geographical area, due to the quality of the meeting and the lack of other conferences and meetings in analysis in this region, especially in the fall. The Prairie Analysis Seminar is now quickly becoming a tradition with a 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 participants to give contributed talks. This is critically important for graduate students, postdoctoral researchers, and those early in their careers, to increase their visibility and awareness of their work in the mathematical community. The first four editions attracted a number of researchers from small universities and colleges throughout the region, in addition to those attending from major research institutions. Many of thesefaculty 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 who can be attracted to graduate education in mathematics and sciences. Social events planned will increase the scientific interaction and foster useful personal connections among the participants.