Convexity, Topology, Combinatorics and beyond: An international conference

凸性、拓扑学、组合学及其他：国际会议

基本信息

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

项目摘要

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.

该奖项将支持有关凸几何，拓扑和组合学或凸学组合学的进行数学的国际研讨会。这是一个重要的话题，因为几何形状和拓扑技术已成为主要工具的数学和理论计算机科学。实际上，凸学组合学对ASALGORITHM设计，计算机图形，数学编程，实体解码和计算生物学的应用领域产生了影响。同时，拓扑结构和几何形式受益于对结构结构的研究，例如腹腔结构，多面体，简单的复合物，几何图等，因为它们自然而然地出现在重要的代数和语言学空间中，例如，诸如硕士，多种多样的构想，构造的范围，以及较大的国际范围，是一个庞大的范围，这是一个庞大的范围，这是一个庞大的范围，这是一个庞大的范围。拓扑组合学。 EventIntend将汇集最高的国际研究人员来讨论这些相交领域的发展。除了特定的数学研究外，会议还将增加美国和墨西哥的数学学院之间的合作，这两者都有许多强大的研究人员凸出拓扑结合学和大量的博士学位学生在这些主题中研究。这两个小组将从会议将带来的互动中受益。