Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

A conference in honor of Pierre Dolbeault

Cohomologies on complex manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 28 Jun 2014

4 jun 2014 -- 10:50

Amphi HERPIN - Bâtiment Esclangon (Université Pierre et Maire Curie - Paris 6)

Abstract.

After Pierre Dolbeault initiated its study, the cohomology with coefficients in the sheaf of holomorphic functions revealed as a fundamental tool in Complex Geometry. Further cohomological invariants for complex manifolds were then defined in 1965 by Bott and Chern, and Aeppli. They provide a sort of bridge between de Rham and Dolbeault cohomology, and turn out to be natural tools in Complex Analysis, Complex (non-Kahler) Geometry, and Theoretical Physics.


Documents:

Credits | Cookie policy | HTML 5 | CSS 2.1