U.S.-Finland Workshop on Inverse Problems; Sodankyla, Finland; June 14 -20, 1992

该奖项为大约12名美国数学家参加1992年6月14日至20日在芬兰索丹基拉举行的以逆问题为主题的研讨会提供部分支持。研讨会主要由华盛顿大学的John Sylvester教授和赫尔辛基大学数学系的Lassie Paivarinta教授联合举办。在芬兰，应用数学这一领域的研究正在增长，芬兰的政府和私人基金会为会议和会议记录的出版提供了主要支持。该领域的快速发展为研究和应用提供了几年前还不存在的机会。讲习班将侧重于多维反问题的三个领域，在这些领域，最近的思想交流特别富有成效，在这些领域，加强国际互动应能显著加快进展。这些主题是逆散射、阻抗层析成像和多维逆频谱问题。预期的参与者包括这些领域的一些杰出贡献者。反问题的主题包括从地震学到雷达等各种实际感兴趣的领域中科学问题的数学基础。在过去的五年里，新的方法得到了发展，促进了许多类型的多维反问题的快速发展。讲习班将成为传播信息和鼓励这一跨学科领域不同领域的研究人员开展合作的一种手段。它是专门为加强对来自芬兰、苏联、欧洲和美国的博士后和研究生以及更资深的参与者的培训而设计的。该地点对苏联研究人员来说是一个特别方便的环境，他们使用与外国同行不同的方法，与美国数学家见面，交流思想。

This award provides partial support for approximately twelve U.S. mathematicians to participate in a workshop on the topic of Inverse Problems to be held in Sodankyla, Finland, from June 14 to 20, 1992. The workshop is jointly organized principally by Professor John Sylvester of the University of Washington and Professor Lassie Paivarinta of the Mathematics Department of the University of Helsinki. Research in this area of applied mathematics is growing in Finland, and the government and private foundations in Finland are providing the major support for the meeting and publishing the proceedings. Rapid advances in the field offer opportunities for research and applications that did not exist just a few years ago. The workshop will focus on three areas of multidimensional inverse problems where the recent interchange of ideas has been particularly fruitful, and where increased international interaction should provide significant acceleration in progress. These topics are inverse scattering, impedance tomography, and multidimensional inverse spectral problems. Expected participants include some of the outstanding contributors in these fields. The subject of inverse problems includes the mathematical foundations of scientific problems in diverse areas of practical interest from seismology to radar. New methods have been developed in the past five years that have stimulated rapid progress in multidimensional inverse problems of many kinds. The workshop will serve as a means for disseminating information and encouraging collaboration among researchers in different areas of this crossdisciplinary field. It is specifically designed to enhance the training of postdoctoral and graduate students, as well as the more senior participants, from Finland, the Soviet Union, Europe and the U.S. The location is a particularly convenient setting for Soviet researchers, who use different methods from their foreign counterparts, to meet American mathematicians and exchange ideas.