Ferdinand Ihringer, Southern University of Science and Technology

Abstract

The classical EKR theorem states that the largest intersecting family of k-uniform subsets of an n-element set consists of all k-sets through a fixed element. More generally, it is known that large intersecting families are locally concentrated. So far such characterization results are missing for intersecting families of subspaces in vector. We will describe ongoing work which closes this gap in the literature. Joint work with Andrey Kupavskii.