Erdos-Ko-Rado problems in finite geometry, group theory and integer partitions Ghent University
This project will investigate Erdős-Ko-Rado (EKR) problems in different contexts. An EKR problem concerns large sets of pairwise intersecting objects. The definition of intersecting depends on the context. 1) EKR in vector spaces. We consider sets of k-spaces pairwise intersecting in a subspace of dimension contained in D={t_1,t_2,…,t_s}. The goal is to classify the largest examples. These sets are interesting from a coding theoretical point ...