Great Lakes Geometry Conference 2010

2010 年五大湖几何会议

• 批准号: 0966902
• 负责人: Yong-Geun Oh
• 金额: $ 1.8万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-02-01 至 2011-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0966902&HistoricalAwards=false
• 关键词: Great; Lakes; Geometry; Conference; 2010

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.

一年一度的五大湖几何会议已成为五大湖地区举办的一项成熟会议，在此基础上，PI 提议将复曲面几何和辛几何、代数等相关领域的专家聚集在一起。几何和卡勒几何，并为数学家分享想法和愿景提供一个共同点，以实现理解所有面的复曲面簇的镜像对称性的目标。这反过来又将为更深入地理解复曲面簇的镜像对称性奠定基础。 Kontsevich的同调镜像对称性和Calabi-Yau流形上拉格朗日环面纤维的Strominger-Yau-Zaslow提出，是近年来弦论几何和物理研究最活跃的领域之一。同时也召开了很多会议近年来致力于辛几何和镜像对称或复曲面几何，PI 们不知道有一个会议将所有这些方面在几何的背景下结合在一起。五大湖几何会议是迄今为止在五大湖地区举办的一个成熟的几何和拓扑会议。 2010年是该会议召开11周年，将在威斯康星大学麦迪逊分校举行。 GLGC 2010 的主题是复曲面几何及相关领域，这将为数学家们分享想法和愿景提供一个共同基础，以实现理解所有面的复曲面变体的镜像对称性的目标。我们希望聚集复曲面几何和镜面对称领域不同领域的专家将鼓励这些领域的研究人员之间的合作。在本次会议中，PI 吸引了来自几何和数学物理领域各个活跃研究领域的演讲者。本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了解镜像对称和复曲面几何这一活跃的几何和物理领域最近令人兴奋的新发展。 我们也希望这次会议能让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，鼓励中西部地区及其他地区大学之间的互动，帮助研究生和博士后在这些令人兴奋的领域工作地区。