Otto-von-Guericke-Universität Magdeburg



Some results on simplicial complexes and spheres

Veranstalter: Fakultät für Mathematik

Montag, 27.02.2017, 10:00-11:00; G03-214 (39 Plätze)

Es trägt vor Frau Lamprini Ananiadi (University of Ioannina, Greece).

Abstract: In this talk we study simplicial complexes, their Stanley-Reisner rings, convex polytopes and simplicial spheres. We state the g-theorem which characterizes the f-vectors of simplicial convex polytopes and we explain the construction of Billera and Lee for the proof of the sufficiency of the conditions given in the g-theorem. Furthermore, we define simplicial spheres and present the Upper Bound Theorem for convex polytopes and simplicial spheres.

Kontakt: Jun.-Prof. Dr. Thomas Kahle

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Letzte Änderung: 10.02.2016 - Ansprechpartner: Jun.-Prof. Dr. Thomas Kahle