Department of Mathematics
Mathematics Colloquium - Fall 2015
Wednesday, October 7th, 2015
3:00pm - 4:00pm, in McCormack 1-210 Pablo SoberonNortheastern UniversityQuantitative 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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