f-vectors of simplicial and simple polytopes
Veranstaltungsort
Alpen-Adria-Universität Klagenfurt
I.2.01
Veranstalter
Institut für Mathematik
Beschreibung
The f-vector of a d-dimensional (convex) polytope P is defined as f(P) = (f_0(P), f_1(P), … , f_d(P)) where f_i(P) is the number of i-dimensional faces of P.The question is whether a given vector of non-negative numbers is the f-vector of a polytope.For d >= 4, finding a complete characterization of f-vectors is an open problem.However, the so-called g-Theorem gives a description for f-vectors of simplicial and simple polytopes. The purpose of this talk is to give a summary of the lectures of a summer school at MSRI on the g-Theorem and related topics.
Vortragende(r)
Roswitha Rissner
Kontakt
Senka Haznadar (senka [dot] omerhodzic [at] aau [dot] at)
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