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Enumeration in hyperplane arrangements

Algebra & Discrete Mathematics

Speaker: Federico Ardila, MSRI
Location: 693 Kerr
Start time: Fri, Dec 5 2003, 2:10PM

I will start by giving an introduction to the combinatorics of hyperplane arrangements, with an emphasis on enumerative aspects. The main character will be the Tutte polynomial; I will define it, and present a new method for computing it. I will then show how to apply this method for some nice families of arrangements, which are known to be very rich combinatorially. This procedure gives new formulas for the generating functions of several objects in classical enumerative combinatorics.

The talk will assume no prior knowledge of the subject.