Наредни састанак Семинара биће одржан у понедељак, 28. октобра 2024. године, у сали 301ф Математичког института САНУ са поечетком у 11.30.
Предавач: Joana-Claudia Lazar, Politehnica University of Timisoara, Romania
Наслов предавања: MINIMAL DISPLACEMENT SET FOR 8-LOCATED SIMPLICIAL COMPLEXES WITH SD’-PROPERTY
Апстракт: 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).
Напомена: Предавања се могу пратити на даљину преко линка:
https://miteam.mi.sanu.ac.rs/call/XZawgjASPavABY37A/2t2yGBvU01onPAP3aSUKiNFb2Skjk-3w5XJruW-yaZh
Регистрациона форма је доступна на:
https://miteam.mi.sanu.ac.rs/asset/sd3bebvvcBSNtN78B