Predvanje će biti održano u četvrtak, 16. 7. 2026. sa početkom u 12č u sali 830 na V spratu, Studentski trg 16.

Predavač: Seonghyeon Yu, Graduate Student, Department of Mathematics, Ajou University, Republic of Korea

Naslov/title: Small covers over Bier spheres of the skeleta of a simplex

Abstract: The Bier sphere is defined as the deleted join of a simplicial complex and its Alexander dual. Although Bier spheres are not polytopal in general, those arising from the skeleta of a simplex are known to be polytopal. Their polytopality allows us to consider small covers whose orbit spaces are the corresponding dual simple polytopes. In this talk, we will discuss the classification of small covers over these Bier spheres up to Davis-Januszkiewicz equivalence. As applications, we determine their homeomorphism types in one case and compute their rational Betti numbers in the other cases.