讲座内容：

Let F be a family of k-subsets of an n-set. The family F is said tobe t-intersecting if thesize of the intersection of any two subsets in F is not less than t. A t-intersecting family F  is said to be trivialif F consists of subsets which contain a fixed t-subset of the n-set. The Erdős-Ko-Rado theoremdescribes the size and structure of a maximum t-intersecting family, and the Hilton-Milner theorem describesthe size and structure of a maximum non-trivial 1-intersecting family. In thistalk, we show some results about thestructure of maximal non-trivial t-intersecting families with large size forfinite sets.