Geometrija, obrazovanje i vizualizacija sa primenama, 24. oktobar 2019.

Naredni sastanak Seminara biće održan u četvrtak, 24. oktobra 2019. u sali 301f Matematičkog instituta SANU sa početkom u 17:15. U pitanju je zajednički sastanak sa KGTA seminarom.

Predavač: Ioana-Claudia Lazar, Politehnica University of Timisoara, Romania

Naslov predavanja: MINIMAL DISC DIAGRAMS IN 5/9-COMPLEXES

Apstrakt: 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.



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