Workshop on Coupled-Physics Inverse Problems

研讨会将与圣地亚哥智利大学的Modelamiento Matemático(CMM)中心合作举办，并将于2013年1月3日至5日在智利圣地亚哥的CMM举行。组织者是智利天主教大学的马蒂亚斯·库杜里耶，CMM的Jaime Ortega和Axel Osses，以及华盛顿大学的Gunther Uhlmann。会议的焦点将集中在“耦合物理”或“混合”成像模式，由于它们在医学成像和其他领域有着巨大的前景，近年来受到了很大的关注。通过组合两种或三种不同类型的波(或物理场)，这些方法克服了传统断层成像技术的局限性，并提供了其他方面无法获得的、可能挽救生命的诊断信息。这些方法包括热声层析成像(TAT)、光声层析成像(PAT)、超声调制光学和阻抗层析成像(UMOT、UMEIT)、磁声电层析成像(MAET)以及将磁场与组织超声扫描相结合的其他几种方式。与这些方法密切相关的是所谓的组合物理模式，如电流密度成像和弹性成像。除了医学成像，最近还对石油勘探中的耦合物理反问题方法，特别是对地震-电效应的兴趣。这次研讨会的目的之一是给参与者，特别是初级数学家，学习耦合物理反问题研究的最新进展的机会，并讨论未来的方向和问题。另一个目标是促进智利、美国和拉丁美洲其他国家反问题研究人员之间的互动，并增加这些领域初级和高级研究人员之间的互动。

The workshop will be organized in partnership with the center of Modelamiento Matemático (CMM) of the University of Chile in Santiago and will be held Jan. 3-5, 2013 at CMM in Santiago, Chile. The organizers are Matias Courdurier from the Pontificia Universidad Católica de Chile, Jaime Ortega and Axel Osses from CMM and Gunther Uhlmann from the University of Washington. The focus of the conference will be on "coupled-physics" or "hybrid" imaging modalities that have received a lot of attention in recent years due to the great promises they hold for medical imaging and other fields. By combining two or three different types of waves (or physical fields) these methods overcome limitations of classical tomography techniques and deliver otherwise unavailable, potentially life-saving diagnostic information. Among these methods are the Thermoacoustic Tomography (TAT), Photo-Acoustic Tomography (PAT), Ultrasound Modulated Optical and Impedance Tomographies (UMOT, UMEIT), Magneto-Acousto-Electric Tomography (MAET) and several other modalities combining magnetic fields with ultrasound scanning of the tissue. Closely related to these methods are so-called combined physics modalities such as Current Density Imaging and Elastography. Besides medical imaging there has been also recent interest on coupled-physics inverse methods in oil exploration in particular on the Seismo-electric effect.One of the goals of this workshop is to give the participants, in particular junior mathematicians, the opportunity of learning the state of the art in research on coupled-physics inverse problems and discuss future directions and problems. Another goal is to foster the interaction between researchers in inverse problems in Chile, the US and other countries of Latin America, and to also have increased interaction between junior and senior researchers in these fields.