Conference on Inverse Problems and Spectral Theory, October 17-19, 2014

该奖项资助23名与会者参加将于2014年10月17日至19日在德克萨斯农工大学举行的“逆问题与谱理论”会议的旅费和当地费用。会议的主要目标是促进反问题和光谱理论各个领域的研究人员之间的合作，以及这些技术在物理、生物医学和工程中的应用。该奖项的大部分资金用于支持初级数学家、研究生、女性和其他代表性不足群体的参与。在过去的几十年里，反问题和谱理论都得到了迅速发展，这些数学领域之间出现了一些深刻的联系。反问题是指要确定期望或观察到的结果的原因的问题。它们在医学和生物学、寻找石油和矿藏、研究地球的下层结构、利用望远镜数据创建天体物理图像、寻找材料内部的裂缝和界面以及国土安全应用方面发挥着越来越大的作用。长期以来，谱理论一直是数学发展的主流。它在科学和工程的各个领域取得了令人着迷的发展，这一领域的研究仍处于极其活跃的阶段。这两个场之间的相互作用产生了一个特殊的子类问题，即逆谱问题。然而，这些只是反问题与谱理论之间深层联系的一个方面，而谱理论方法在看似无关的反问题中得到了许多应用。例如，通过研究控制活组织中波传播的算子的光谱特性，在研究一些新兴的多物理医学成像模式方面取得了重大进展。受资助的会议将邀请反问题和谱学理论方面的主要专家进行演讲，并特别强调这两个领域的相互作用。会议网址：www.math.Tamu edu/~berko/ipst/

The award supports the travel and local expenses of 23 participants in the conference "Inverse Problems and Spectral Theory," which will be held at the Texas A&M University, October 17-19, 2014. The primary goal of the conference is to facilitate cooperation between researchers working in various areas of inverse problems and spectral theory, and in applications of these techniques in physics, biomedicine, and engineering. The majority of the award funds are reserved to support the participation of junior mathematicians, graduate students, and women and other members of underrepresented groups.Both inverse problems and spectral theory have been rapidly developing during the last several decades, with a number of deep connections emerging between these areas of mathematics. Inverse Problems are problems in which causes for a desired or an observed effect are to be determined. They play an ever increasing role in medicine and biology, in search for oil and mineral deposits, in studying the earth's substructure and creating astrophysical images from telescope data, in finding cracks and interfaces within materials, and in homeland security applications. Spectral theory has been in the mainstream of mathematical development for a long time. It has led to fascinating developments in various areas of science and engineering and the research in this field is still in an extremely active phase. The interaction between the two fields have given rise to a special subclass of problems, the inverse spectral problems. However, those are only one aspect of the deep connection between inverse problems and spectral theory and spectral-theoretical methods find many applications in seemingly unrelated inverse problems. For example, significant progress in studying some of the emerging multi-physics modalities of medical imaging was achieved through the study of the spectral properties of the operators governing the wave propagation in the living tissue. The supported conference will feature invited lectures from leading specialists in Inverse Problems and Spectral Theory, with special emphasis on the interaction of the two fields.Conference web site: www.math.tamu.edu/~berko/ipst/