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Seminar of the session "Algebraic topology, geometric and combinatorial group theory"

seminar: Splines, lattice points, and arithmetic matroids Seminar of the session "Algebraic topology, geometric and combinatorial group theory" (2015)

speaker: Matthias Lenz (University of Oxford)

abstract: Formulas of Khovanskii-Pukhlikov, Brion-Vergne, and De Concini-Procesi-Vergne relate the volume with the number of integer points in a convex polytope. In this talk I will refine these formulas and talk about graded vector spaces that appear naturally in this context, the Dahmen-Micchelli spaces and their duals, the so-called P-spaces. It will turn out that the combinatorics of these spaces is determined by the underlying arithmetic matroid.

timetable:
Wed 11 Feb, 16:30 - 17:30, Aula Dini
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