f-vectors of simplicial and simple polytopes
VeranstaltungsortAlpen-Adria-Universität KlagenfurtI.2.01Veranstalter Institut für MathematikBeschreibungThe 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 RissnerKontaktSenka Haznadar (senka.omerhodzic@aau.at)