Motivic realizations of matrix factorizations II

II: In the second part we will review Orlov comparison theorem with the singularity category, the sheaf
of vanishing cycles over a dvr and present some elements of the proof that the l-adic realization of
matrix factorization is given by vanishing cohomology. Finally we hope to put the result in perspective

regarding Toën--Vezzosi approach to the conductor formula.