Convexity, Topology, Combinatorics and beyond: An international conference

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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.