Delphine POL

Title: 
Logarithmic forms along higher codimensional subspaces

Abstract: 
The purpose of this talk is to study a notion of logarithmic forms along reduced 
complete intersections or Cohen-Macaulay subspaces 
which is introduced by A. G. Aleksandrov and A. Tsikh as a generalization of the 
logarithmic forms along reduced hypersurfaces developped by K. Saito. 
A natural question which then arises is to generalize the notion of freeness to spaces 
of higher codimension. In this talk, I will first recall the hypersurface case, 
and we will then consider logarithmic forms, 
logarithmic vector fields and residues along higher codimensional spaces. 
In particular, we will give several characterizations of freeness which extend the hypersurface case. 
In the last part of my talk, I will give examples which are related to subspace arrangements.