Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, October 28, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Shakhar Smorodinsky

A Survey about Geometric Permutations

Let S be a family of convex sets in R^d. A line l is said to be a transversal for S if it intersects every member of S. If S is finite and consists of pairwise-disjoint convex sets, then a line transversal for S induces two linear orderings on S --- the two orders in which the members of S are met by l, corresponding to the two orientations of l.

Such orderings of S are called geometric permutations. How many geometric permutations can a given family, of n pairwise disjoint convex sets, have? This is one of the most challenging open problems in transversal theory. In this talk we survey some recent progress in this area.

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