WiSe 15/16: (V) Aufbaumodul Diskrete Geometrie III
Raman Sanyal
Hinweise für Studierende
Zusätzl. Angaben / Voraussetzungen
Voraussetzungen: Preferably Discrete Geometry I and II. Background in discrete geometry (polytopes, subdivisions, h-vectors) and convex geometry (mixed volumes, Brunn-Minkowski, Aleksandrov-Fenchel) should suffice.
SchließenKommentar
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.
SchließenLiteraturhinweise
will be announced in class.
16 Termine
Regelmäßige Termine der Lehrveranstaltung