NSF/CBMS Regional Conference in the Mathematical Sciences: Tropical Geometry & Mirror Symmetry, December 13-17, 2008

NSF/CBMS 数学科学区域会议：热带几何

• 批准号: 0735319
• 负责人: Ricardo Castano-Bernard
• 金额: $ 3.3万
• 依托单位: Kansas State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-02-01 至 2010-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0735319&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

The emphasis of this conference will be put on the interplay between tropical geometry and mirror symmetry. The principal lecturer will be Mark Gross from University of California, San Diego. Mirror symmetry poses the equivalence between different models of string theory. This phenomenon involves several dualities such as the Homological Mirror symmetry, the Strominger-Yau-Zaslow duality, the Batyrev-Borisov duality, and the Landau-Ginzburg model. Tropical geometry is a relatively new subject that has proved to be very effective solving problems in computer science, mathematical biology and statistical physics. In the past few years, tropical geometry has also been applied to solve problems in Gromov-Witten theory and, more recently, mirror symmetry.The conference will provide a comprehensive expository treatment of the interaction between tropical geometry and mirror symmetry. Mark Gross will deliver a series of lectures around subjects such as: tropical curves & affine manifolds; Calabi-Yau degenerations & logarithmic structures; and the tropical Morse category. In addition, there will be introductory mini-courses and special seminar lectures delivered by leading experts in the field.

这次会议的重点将放在热带几何和镜像对称之间的相互作用。主讲人是来自圣地亚哥加州大学的Mark Gross。镜像对称使弦理论的不同模型之间具有等价性。这种现象涉及到几个对偶，如同调镜像对称，Strominger-Yau-Zaslow对偶，Batyrev-Borisov对偶和Landau-Ginzburg模型。热带几何是一门相对较新的学科，已被证明是非常有效的解决问题的计算机科学，数学生物学和统计物理。在过去的几年里，热带几何也被应用于解决Gromov-Witten理论中的问题，最近，镜像对称。会议将提供热带几何和镜像对称之间的相互作用的全面简要处理。马克格罗斯将提供一系列讲座围绕主题，如：热带曲线仿射流形;卡-丘退化对数结构;和热带莫尔斯类。此外，还将举办介绍性小型课程和由该领域主要专家主讲的特别研讨会讲座。