PROGRAM

Seminar Kombinatorika, Geometrija, Topologija, Algebra (KGTA)

PLAN RADA ZA OKTOBAR 2019:

ČETVRTAK, 24.10.2019. u 17:15, Matematički institut SANU, sala 301f
Ioana-Claudia Lazar, Politehnica University of Timisoara, Romania
MINIMAL DISC DIAGRAMS IN 5/9-COMPLEXES
We introduce and study two combinatorial curvature conditions on a simplicial complex. The first one is called the 5/9-condition. We give hereby an application of another combinatorial condition, called 8-location, introduced by Damian Osajda. We prove the minimal filling diagrams lemma for 5/9-complexes.Then we show that the 5/9-condition on a simplicial complex implies the Gromov hyperbolicity of its universal cover. The second condition is called t-uniformness.
We prove that the lengths of spheres in t-uniform complexes are the terms of certain Lucas sequences. We find optimal constants for the linear isoperimetric inequality in the hyperbolic case.
Zajednicki sastanak KGTA i Seminara za Geometriju, obrazovanje i vizualizaciju sa primenama

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