Great Lakes Geometry Conference 2010

在大湖地区举办的一年一度的大湖几何会议的成功基础上，pi提议汇集环面几何和相关领域的专家，从辛几何、代数几何和K\ ahler几何的面，并提供一个共同的基础，数学家们分享思想和愿景，以实现理解所有面环面变化的镜像对称性的目标。这将为深入理解Kontsevich的同调镜像对称和strominger - yu - zaslow关于Calabi-Yau流形上拉格朗日环面振动的建议奠定基础，这是近年来弦理论几何和物理研究中最活跃的领域之一。虽然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还没有意识到一个会议将所有这些方面在环面变化几何的背景下结合在一起。大湖几何会议目前是在大湖地区举行的一个成熟的几何和拓扑学会议。2010年是大会11周年，将在威斯康辛大学麦迪逊分校举行。GLGC 2010的主题是环面几何和相关领域，这将为数学家们提供一个共同的基础，让他们分享思想和愿景，以实现理解所有面环面变异的镜像对称性的目标。我们希望聚集圆环几何和镜像对称不同面的专家将鼓励研究人员在该领域的合作。在这次会议上，pi从几何和数学物理的各种活跃研究领域中吸引演讲者。本次会议的一个主要目标是向相关领域的研究生和早期职业数学家介绍在镜像对称和环面几何这一活跃的几何和物理领域的一些令人兴奋的新发展。我们也希望这次会议能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.