讲座内容：

Let V be an n-dimensional vector space over the finite field Fq. A family ℱ of k-dimensional subspaces of V is called intersecting if for all F, F’ℱ, we have dim(F ∩F’) ≥1. A family ℱ is called almost intersecting if for every Fℱ, there is at most one F’ℱ satisfying dim(F∩F’) = 0. We determine the structure of the maximum almost intersecting family under the condition that it is an intersecting family or not, respectively. This is joint work with Yunjing Shan.