# Differences

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winterschool2015 [2015/07/03 08:15]
winterschool2015 [2015/07/03 08:53] (current)
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We plan to investigate weak epsilons-nets, halving lines and planes, the $(p,q)$ problem and its solution, extensions to lattice convex sets, and colourful versions of the above mentioned classical theorems. Further possible topics are transversals, lattice polytopes and random polytopes. The methods here use tools from linear algebra, combinatorics, topology, geometry, probability theory, and geometry of numbers.  We plan to investigate weak epsilons-nets, halving lines and planes, the $(p,q)$ problem and its solution, extensions to lattice convex sets, and colourful versions of the above mentioned classical theorems. Further possible topics are transversals, lattice polytopes and random polytopes. The methods here use tools from linear algebra, combinatorics, topology, geometry, probability theory, and geometry of numbers.
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-Notes of {{:vempala-notes.pdf|all lectures}}. Notes of {{:barany_lecture_1.pdf|lecture 1}}, {{:barany_lecture_2.pdf|lecture 2}}, {{:barany_lecture_3.pdf|lecture 3}}, {{:barany_lecture_4.pdf|lecture 4}} and {{:barany_lecture_5.pdf|lecture 5}}.+Notes of {{:barany-notes.pdf|all lectures}}. Notes of {{:barany_lecture_1.pdf|lecture 1}}, {{:barany_lecture_2.pdf|lecture 2}}, {{:barany_lecture_3.pdf|lecture 3}}, {{:barany_lecture_4.pdf|lecture 4}} and {{:barany_lecture_5.pdf|lecture 5}}.
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^<fs larger> Santosh Vempala </fs> \\ (Georgia Tech.)  |<fs larger>  ^<fs larger> Santosh Vempala </fs> \\ (Georgia Tech.)  |<fs larger>