Studies

192
Compulsory

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This is the third in a series of three courses on discrete geometry. This advanced course centers around the `g-Theorem, that is, the complete characterization of face numbers of simplicial convex polytopes. Combining ideas from the combinatorics (Discrete Geometry I) and the convex geometry (Discrete Geometry II) of polytopes naturally leads to McMullen's polytope/weight algebra. In this setup the g-Theorem and its proof can be clearly phrased. If time permits we will also address connections of the `algebra of polytopes' to intersection theory in toric and tropical geometry.

This is the third in a series of three courses on discrete geometry. This advanced course discusses the interaction of convex bodies with lattices (known as the "Geometry of Numbers"), lattice polytopes and lattice point counting (known as "Ehrhart Theory"), and other selected topics of current interest.

Cross-language

192 059
Compulsory

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AncillaryCourses

(Ü) Aufbaumodul Diskrete Geometrie III

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Nursing Mother

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