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Mathematics Colloquium - Fall 2015

Wednesday, October 7th, 2015
3:00pm - 4:00pm, in McCormack 1-210

Pablo Soberon

Northeastern University

Quantitative Helly-type results in combinatorial geometry

Abstract: Given a family of convex sets in R^d, there are many results regarding the combinatorial properties of its intersection structure. However, one can ask for more quantitative information about the intersections, such as bounds on their volume, diameter or number of lattice points they contain. In this talk we will discuss how some classic results can be adapted to this setting.




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