Orateur
M.
Martin Puchol
Description
The holomorphic torsion is a spectral invariant defined by Ray and Singer. Bismut and Vasserot have computed its asymptotic behavior when it is associated with growing tensor power of a positive line bundle. Then they extended their result when these powers are replaced by symmetric powers of a positive bundle of arbitrary rank. These formulas have played a role in Arakelov geometry.
The holomorphic torsion has a generalization in the family setting: the holomorphic torsion forms. In this talk, we will extend Bismut-Vasserot's work and present an asymptotic formula for the torsion forms associated with the direct image of
