Date and Time: April 14, Tuesday, 6-7 PM
Title : From toric manifolds to Bier spheres
Speaker: Seonghyeon Yu (유성현), Ajou University (아주대학교)
Location: Room 324
Abstract : Toric topology is the study of topological spaces equipped with torus actions. Within this field, a topological toric manifold corresponds to a simplicial sphere and its realization as a complete fan. In this talk, we will introduce the cohomological rigidity problem, which is a fundamental topic in toric topology. Furthermore, we will discuss a specific class of simplicial spheres with nice combinatorial properties, known as Bier spheres. In particular, we focus on the full subcomplexes of Bier spheres and their combinatorial structures.