Great Lakes Geometry Conference 2010

在五大湖几何年会取得成功的基础上，该年会现已成为在五大湖地区举行的一次公认的会议，PI建议将复曲面几何和辛几何面相关领域的专家聚集在一起，代数几何与K ahler几何，并提供一个共同的基础，数学家分享想法和愿景的目标，理解镜面对称的环面各种面孔。这将反过来成为更深入地理解Kontsevich的同调镜像对称和Strominger-Yau-Zaslow关于Calabi-Yau流形上拉格朗日环面纤维化的提议的垫脚石，这些都是近年来弦理论的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，但这些会议都是关于辛几何和镜像对称的。PI不知道一个会议，把所有这些方面在一个上下文中的几何环面品种。五大湖几何会议是目前一个完善的会议几何和拓扑举行的五大湖地区。2010年的会议是它的11周年纪念，将在麦迪逊的威斯康星州大学举行。GLGC 2010的主题是复曲面几何和相关领域，这将为数学家们提供一个共同的基础，分享他们的想法和愿景，以实现理解复曲面各种面的镜像对称性的目标。我们希望，聚集专家的不同面孔的复曲面几何和镜像对称将鼓励研究人员之间的合作，在这些领域。在这次会议上，PI从几何和数学物理的活跃研究领域的不同光谱中吸引了这次会议的发言者。本次会议的一个主要目标是暴露在相关领域的研究生和早期职业数学家的一些最近令人兴奋的新发展，在这个活跃的领域的几何和物理的镜像对称和环面几何。 我们也希望这次会议将有利于学生和早期职业数学家在威斯康星州和其他中西部大学的大学，鼓励在中西部地区和超越大学之间的互动，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.