The Adams-Riemann-Roch theorem and applications

We shall formulate the Adams-Riemann-Roch theorem, which is a refinement of the Grothendieck-Riemann-Roch theorem taking into account torsion. We shall apply the theorem to the de Rham complex. This will lead to a conjecture on the torsion of the Chern classes of Gauss-Manin bundles.