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playground:playground [2014/08/23 15:39]
FRADELIZI Matthieu
playground:playground [2014/08/23 15:40] (current)
FRADELIZI Matthieu
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 The course will cover several topics in combinatorial convexity, where theorems of Caratheodory, Helly, Radon, and Tverberg are the typical and classical results. 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 course will cover several topics in combinatorial convexity, where theorems of Caratheodory, Helly, Radon, and Tverberg are the typical and classical results. 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. The methods here use tools from linear algebra, combinatorics, topology, geometry, probability theory, and geometry of numbers.
-The methods here use tools from linear algebra, combinatorics, topology, geometry, probability theory, and geometry of numbers. 
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 </fs>  | </fs>  |
 ^ <fs larger>Jeff Kahn</fs> \\ (Rutgers University, USA)| <fs larger> ^ <fs larger>Jeff Kahn</fs> \\ (Rutgers University, USA)| <fs larger>
playground/playground.txt · Last modified: 2014/08/23 15:40 by FRADELIZI Matthieu
 
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