韩杰教授，北京理工大学数学统计学院

Matchings are fundamental objects in the study of graph theory. Unlike in graphs, finding maximum matchings in general hypergraphs is NP-hard -- its decision problem is actually one of the Karp’s 21 NP-complete problems in 1972. Here we shall introduce some recent developments on perfect matchings in hypergraphs from both the extremal and the computational aspects in the past decade.