Conference on Quadrature Domains and Related Topics; March 27-30, 2003, Santa Barbara, California

D.Aharonov和H.S.Shapiro在30年前提出了一类对所有可积调和函数满足精确Gauss型求积的平面区域，这些具有实代数边界的刚性集合是保角映射、流体力学、逼近理论、位势理论、图像处理和算子论等各种问题的基本研究对象。这些领域的顶尖专家将出席会议，并将讨论这一广泛领域的未来研究方向。会议将致力于一类被称为正交域的平面形状，它是由间接测量有限地确定的。它们被证明是重要的应用，从地球物理和流体流动的反问题到层析成像。这次会议将为年轻的研究人员提供一个独特的机会，让他们认识所有邻近领域的专家，并分享关于求积领域的想法和信息。

The class of planar domains which satisfy an exact Gaussian quadrature for all integrable harmonic functionswas introduced 30 years ago by D.Aharonov and H.S.Shapiro.These rather rigid sets, with real alegbraic boundary,turned out to be essential objects of investigation in avariety of problems related to conformal mapping, fluidmechanics, approximation theory, potential theory, imageprocessing and operator theory. Top experts in these areaswill attend the conference and will discuss the futuredirections of research in this broad area.The conference will be devoted to a class of planar shapes,called quadrature domains, which are finitely determined byindirect measurements. They turn out to be important forapplications ranging from inverse problems of geophysicsand fluid flows to tomography. The meeting will be a uniqueopportunity for young researchers to meet experts in alladjacent areas and to share ideas and information aboutquadrature domains.