Convexity, Topology, Combinatorics and beyond: An international conference

该奖项将支持一个关于凸几何、拓扑学和组合学相交的数学的国际研讨会，简称凸拓扑组合学。这是一个重要的课题，因为凸几何和拓扑技术已经成为离散数学和理论计算机科学的主要工具。事实上，凸拓扑组合学已经在算法设计、计算机图形学、数学编程、立体建模和计算生物学等应用领域产生了影响。同时，拓扑学和几何学得益于凸体、多面体、单纯复形、几何图等组合结构的研究，因为它们与重要的代数和拓扑空间如Grassmanian、环簇、构形空间等有关而自然地出现。这次研讨会将是北美第一次关于凸拓扑组合学主题的大型国际会议。这次活动的目的是聚集国际顶尖研究人员，讨论这些交叉领域的发展。除了具体的数学研究外，会议还将加强美国和墨西哥数学学校之间的合作，这两个国家在凸拓扑组合学方面都有很多强大的研究人员，并有大量的博士生在这些课题上进行研究。这两个群体都将从会议带来的互动中受益。

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.