Naredni sastanak Seminara biće održan u ponedeljak, 28. oktobra 2024. godine, u sali 301f Matematičkog instituta SANU sa poečetkom u 11.30.

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

Naslov predavanja: MINIMAL DISPLACEMENT SET FOR 8-LOCATED SIMPLICIAL COMPLEXES WITH SD’-PROPERTY

Apstrakt: We investigate the structure of the minimal displacement set in an 8-located simplicial complex with the SD`-property. We show that such set embeds isometrically into the complex. A simplicial complex is 8-located if it is flag and every full homotopically trivial loop of length at most 8, is contained in a 1-ball. We show that the minimal displacement set in a weakly systolic simplicial complex embeds isometrically into the complex and that it is systolic. As corollaries, we prove that any isometry of a weakly systolic complex either fixes the barycentre of some simplex (elliptic case) or it stabilizes a thick geodesic (hyperbolic case).

Napomena:
Predavanja se mogu pratiti na daljinu preko linka:
https://miteam.mi.sanu.ac.rs/call/XZawgjASPavABY37A/2t2yGBvU01onPAP3aSUKiNFb2Skjk-3w5XJruW-yaZh

Registraciona forma je dostupna na:
https://miteam.mi.sanu.ac.rs/asset/sd3bebvvcBSNtN78B