Prof. Emo Welzl and Prof. Bernd Gärtner
|Mittagsseminar Talk Information|
Date and Time: Tuesday, April 21, 2009, 12:15 pm
Duration: This information is not available in the database
Location: OAT S15/S16/S17
Speaker: Boris Bukh (Princeton Univ.)
In combinatorial geometry one frequently wants to select a point or a set of points that meets many simplices of a given family. The two examples are choosing a point in many simplices spanned by points of some P in R^d, and choosing a small set of points which meets the convex hull of every large subset of P (the weak epsilon-net problem). I will present a new class of constructions that yield the first nontrivial lower bound on the weak epsilon-net problem, and improve the best bounds for several other selection problems.
Joint work with Jiří Matoušek and Gabriel Nivasch.
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