H-factors in graphs with sublinear independence number

There has been a recent tread in finding spanning subgraphs in (host) graphs with sublinear independence number. In this talk we study the H-factors problem in such a setting. That is, given a graph H, what is the best possible minimum degree condition forcing an H-factor in a graph G with independence number o(|G|)? Joint work with Ming Chen, Guanghui Wang and Donglei Yang.