摘要: Deligne-Illusie in 80s opened the Hodge theory in positive characteristic, by providing an algebraic and elementary proof of the E_1 degeneration theorem and Kodaira's vanishing theorem over a characteristic zero field. The key result in their work is the so-called decomposition theorem for de Rham complexes. In this talk, I shall report our recent work on the decomposition theorem for intersection de Rham complexes and some consequences. This is a joint work with Zhang Zebao.