# Residue currents and the Euler characteristic of a complex of vector bundles

## Analyse Complexe et Equations Différentielles

Lieu:
Salle Kampé
Orateur:
Richard Lärkäng
Affiliation:
Chalmers University of Technology, Sweden
Dates:
Lundi, 11 Juin, 2018 - 14:00 - 15:00
Résumé:

I will describe a factorization of the fundamental cycle of a bounded
generically exact complex of vector bundles in terms of certain
differential forms and residue currents associated to this complex. This
is a generalization of previous results in the case when the complex is
a locally free resolution of the structure sheaf of an analytic space,
which in turn is a generalization of the Poincaré-Lelong formula. This
is joint work with Elizabeth Wulcan.