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Workshop on "Combinatorial and geometric aspects of Hyperplane Arrangements" May 24th through 26th

MAY WORKSHOP: Enumerative problems for logarithmic forms on hyperplane complements

speaker: Graham Denham (University of Western Ontario, London)

abstract: The study of modules of logarithmic vector fields and forms on hyperplane complements now has a 30-year history that has revealed some interesting subtleties. For example, a famous formula of Solomon and Terao expresses the characteristic polynomial of the arrangement (matroid) in terms of a specialization of the Hilbert series of modules of logarithmic differentials: however, the Hilbert series of such a module is not uniquely determined by the matroid. I will describe some recent results that give new relations amongst the Chern classes of sheaves of logarithmic forms, in some cases leading to explicit formulas and a "geometric" explanation of Solomon and Terao's formula. This is joint work with Mathias Schulze.

timetable:
Wed 26 May, 11:45 - 12:45, Aula Dini
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