Great Lakes Geometry Conference 2010

在一年一度的五大湖几何会议取得成功的基础上，五大湖几何会议现已成为在大湖区举行的一次久负盛名的会议，在此基础上，私人投资促进机构提议将来自辛几何、代数几何和K“Ahler几何的环面几何和相关领域的专家聚集在一起，并提供一个共同点，让数学家们朝着理解环面变化的镜面对称性这一目标分享想法和愿景。这反过来将成为深入理解Kontsevich的同调镜像对称性和Strominger-Yau-Zaslow关于Calabi-Yau流形上的拉格朗日环面纤颤的垫脚石，这是近年来弦理论几何和物理研究中最活跃的领域之一。尽管近年来有许多会议致力于辛几何和镜像对称或环面几何，但PI们还没有意识到有一个会议将所有这些方面聚集在环面变化的几何学的背景下。五大湖几何会议现在是在五大湖区举行的一个成熟的几何和拓扑学会议。2010年的会议是它的11周年纪念，将在威斯康星大学麦迪逊分校举行。2010年GLGC的主题是环面几何及其相关领域，这将提供一个共同的基础，数学家们将分享想法和愿景，以实现理解环面变化的镜像对称性的目标。我们希望聚集环面几何和镜面对称领域的不同面孔的专家将鼓励这一领域的研究人员之间的合作。在这次会议上，PI吸引了来自几何学和数学物理领域不同活跃研究领域的演讲者。这次会议的一个主要目标是让相关领域的研究生和早期职业数学家接触到这一活跃的几何和镜像对称物理和环面几何领域的一些最新的令人兴奋的新发展。我们也希望这次会议将使威斯康星大学和其他中西部大学的学生和早期职业数学家受益，鼓励中西部地区和其他地区的大学之间的互动，并帮助研究生和博士后在这些令人兴奋的领域工作。

Building upon the success of the annual Great Lakes Geometry Conference which is by now a well-established conference held in the Great Lakes region, the PIs propose to bring together experts of toric geometry and of the related areas from the faces of symplectic geometry, algebraic geometry and K\"ahler geometry and to provide a common ground where mathematicians share ideas and visions towards the goal of understanding the mirror symmetry of toric varieties in all faces. This will in turn serve a stepping stone towards deeper understanding of Kontsevich's homological mirror symmetry and of Strominger-Yau-Zaslow proposal of Lagrangian torus fibrations on Calabi-Yau manifolds, which have been one of the most active areas of research in geometry and physics of string theory in recent years.While there have been many conferences dedicated to symplectic geometry and mirror symmetry or toric geometry recent years, the PIs are not aware of a conference that brings all of these aspects together in the context of geometry of toric varieties.The Great Lakes Geometry Conference is by now a well-established conference of geometry and topology held in the Great Lakes region. The conference in the year 2010 is its 11-th anniversary and will be held in the University of Wisconsin at Madison. The main theme of the GLGC 2010 is toric geometry and the related areas which will provide a common ground where mathematicians share ideas and visions towards the goal of understanding the mirror symmetry of toric varieties in all faces. We hope that gathering the experts of different faces in toric geometry and mirror symmetry will encourage collaborations between researchers in the areas. In this conference, the PIs draw the speakers at this conference from a diverse spectrum of active research areas in geometry and mathematical physics. One primary goal of this conference is to expose graduate students and early career mathematicians in the related fields to some recent exciting new developments in this active area of geometry and physics of mirror symmetry and toric geometry. We also hope that the conference will benefit the students and the early career mathematicians at the University of Wisconsin and other Midwestern universities, encourage interaction between the universities in the Midwestern region and beyond, and help graduate students and post-docs to work in these exciting areas.