Convexity, Topology, Combinatorics and beyond: An international conference

凸性、拓扑学、组合学及其他：国际会议

• 批准号: 1068187
• 负责人: Jesus De Loera
• 金额: $ 1.5万
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-03-01 至 2012-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1068187&HistoricalAwards=false
• 关键词: Convexity; Topology; Combinatorics; beyond; international

The award will support an international workshop on the mathematics at theintersection of convex geometry, topology, and combinatorics, or convextopological combinatorics, for short. This is an important topic becauseconvex geometric and topological techniques have become a main tool indiscrete mathematics and theoretical computer science. In fact, convextopological combinatorics has had a impact in application areas such asalgorithm design, computer graphics, mathematical programming, solidmodeling, and computational biology. At the same time, topology andgeometry have benefited from the study of combinatorial structures such asconvex bodies, polyhedra, simplicial complexes, geometric graphs, etc.,because they appear naturally in relation to important algebraic andtopological spaces such as Grassmanians, toric varieties, configurationspaces, and others.This workshop will be the first large international conference inNorth-America on the topic of convex topological combinatorics. The eventintends to bring together top international researchers to discussdevelopments in these intersecting fields. Besides specific mathematicalresearch, the meeting will increase the cooperation between mathematicalschools in the USA and Mexico, both of which have many strong researchersin convex topological combinatorics and a good number of Ph.D studentsdoing research in these topics. Both groups will benefit from theinteraction that the conference will bring.

该奖项将支持举办关于凸几何、拓扑和组合学（简称凸拓扑组合学）交叉数学的国际研讨会。这是一个重要的话题，因为凸几何和拓扑技术已成为离散数学和理论计算机科学的主要工具。事实上，凸拓扑组合学已经对算法设计、计算机图形学、数学规划、实体建模和计算生物学等应用领域产生了影响。同时，拓扑和几何也受益于对组合结构（如凸体、多面体、单纯复形、几何图等）的研究，因为它们自然地出现在与重要的代数和拓扑空间（如格拉斯曼、环面簇、构形空间等）相关的关系中。本次研讨会将是北美第一个以凸体为主题的大型国际会议 拓扑组合学。该活动旨在汇聚国际顶尖研究人员，讨论这些交叉领域的发展。除了具体的数学研究外，此次会议还将加强美国和墨西哥数学院校之间的合作，这两个国家在凸拓扑组合学方面都拥有众多实力雄厚的研究人员，并且拥有大量从事这些课题研究的博士生。两个群体都将从会议带来的互动中受益。