Intrinsic invariants of complex algebraic surfaces

Noémie Combe
I2M, Aix-Marseille Université
https://noemie-combe-23.webself.net/

Date(s) : 07/07/2015   iCal
11 h 00 min - 12 h 00 min

In the 60’s, L² theory for -operator has become important through the works of Hormander, Versentini and Andreotti. This theory has been very well developed for complex manifolds. Somehow, it remains a problem to define an appropriate L² theory for the -operator on singular spaces. A redefinition of a Dolbeault type of complex for singular spaces leads to the definition of L² cohomology, which is a tool that provides intrinsic geometric invariants of arbitrary complex varieties. In this work, we will use these tools to discuss a classification of complex algebraic varieties in terms of triangulation and geometric invariants such as Ricci tensors, sectional curvature and Ricci curvature.

Catégories

• Séminaire Analyse et Géométrie