– Europe/Lisbon Unusual schedule
Room P3.10, Mathematics Building
— Online

Erika Roldán, MPI MiS and ScaDS.AI Leipzig University
Topology and Geometry of Random Cubical Complexes
We investigate the topology and local geometry of various models of random cubical complexes. In the first part, we consider two types of random subcomplexes of the regular cubical grid: percolation clusters and the Eden cell growth model, analyzing their geometric and topological features. In the second part, we study the fundamental group of random 2-dimensional subcomplexes of an n-dimensional cube, identifying interesting threshold phenomena. This latter model serves as a cubical analogue of the Linial–Meshulam model for random simplicial complexes.