Prairie Analysis Seminar 2003

堪萨斯州立大学和堪萨斯大学的联合项目草原分析研讨会将于2003年10月举行。在此之前，2001年和2002年10月举行了两次成功的会议。计划在未来几年的10月份举行进一步的会议。分析领域内的主题每年都不同；今年的主题是“p-调和函数”。这次会议汇集了锡拉丘兹大学的Tadeusz Iwaniec教授、肯塔基大学的John Lewis教授和匹兹堡大学的Juan Manfredi三位主要研究人员进行了主要演讲。Iwaniec教授关于无界失真拟谐场的工作适用于包括非各向同性偏微分方程组在内的非均匀椭圆型偏微分方程组。刘易斯教授最近成功地解决了长期存在的加藤平方根问题，他过去的工作包括非线性位势理论和抛物型偏微分方程组的研究。曼弗雷迪教授最近的工作是关于无穷拉普拉斯方程，过去的工作包括对p-拉普拉斯方程的研究做出的贡献。我们期待这次会议将这些专家和该领域的其他专家以及新来者聚集在一起。没有关于分析的常设会议，只有很少在秋季在该区域举行其他会议。组织者以这样一种方式安排会议，以使主办大学和与会者的费用降至最低。这允许范围广泛的数学家参加--来自不同机构和职业生涯各个阶段的数学家。特别是，我们鼓励处于职业生涯早期阶段的数学家参加并发表贡献演讲，让他们有机会展示他们的工作，并提高他们在数学界的知名度。从历史上看，这次会议吸引了来自该地区许多小型大学和学院的研究人员。这促进了这些机构之间以及这些机构与我们之间富有成效的互动。组织者的意图是继续努力吸引这些研究人员。主要发言者打算发表一份会议记录。传播这一知识将对外地和相关领域的人有所帮助。应当强调的是，在会议的所有公告中，并通过他们的专业联系，组织者鼓励和特别支持处于职业生涯早期的数学家和传统上代表人数较少的少数群体的参与。

The Prairie Analysis Seminar, a joint project of Kansas State University and the University of Kansas, will be held in October 2003. This follows two successful meetings in October 2001 and 2002. Further meetings in October of the coming years are planned. The topic within the field of analysis varies from year to year;this year's theme is ``p-harmonic functions". The conference brings together three leading researchers, Professors Tadeusz Iwaniec of Syracuse University, John Lewis of the University of Kentucky, and Juan Manfredi of the University of Pittsburgh to give the main lectures. Professor Iwaniec's work on quasiharmonic fields of unbounded distortion has applications to non-uniformly elliptic PDEs including non-isotropic PDEs. Professor Lewis has recently coauthored the successful resolution of the long-standing Kato-square root problem, and his past work has included nonlinear potential theory and the study of parabolic PDEs. Professor Manfredi's recent work is on the infinity-Laplacian and past work includes contributions to the study of the p-Laplace equation. We expect the meeting to bring together these and other experts in the field as well as newcomers.There are no standing conferences in analysis and only rarely other conferences in this region in the fall. The organizers have structured the conference in such a way so as to keep the costs for the host university and participants to a minimum. This allows a wide range of mathematicians to attend--mathematicians at all stages in their careers and from a variety of institutions. In particular, we encourage mathematicians in the early stages of their careers to attend and give a contributed talk, giving them an opportunity to show their work and increase their visibility in the mathematical community. The conference has historically attracted a number of researchers from small universities and colleges throughout the region. This has fostered fruitful interaction among these institutions, and between these institutions and ours. It is the intent of the organizers to continue to work to attractthese researchers. It is the intention of the main speakers to publish a proceedings of the conference. Dissemination of this knowledge will be of use to those in the field and related areas. It is to be emphasized that in all announcements of the meeting, and through their professional contacts, the organizers encourage andparticularly support participation of mathematicians early in their career and of traditionally underrepresented minorities.