Burgos talk abstract, Paris, March 2011: The holomorphic analytic torsion classes for Kähler fibrations provide us with a refinement of the Grothendieck-Riemann-Roch theorem at the level of differential forms. They are a key ingredient in the arithmetic Grothendieck-Riemann-Roch theorem. In this talk we will give an axiomatic characterization of holomorphic analytic torsion classes, use it extend analytic torsion classes to arbitrary projective morphisms and extract some consequences. This is joint work with R. Litcanu and G. Freixas.
nLab page on Analytic torsion