Categoria:
Seminari di Algebra e Geometria
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Sala di Consiglio
Sede:
Dipartimento di Matematica, Sapienza Università di Roma
Speaker:
Jean Ruppenthal (Bergische Universität Wuppertal(
The canonical line bundle and the corresponding canonical sheaf belong to the most
important geometric/analytic objects associated to a complex manifold. They play a crucial
role e.g. in classification theory, Serre duality or vanishing theorems. If we consider singular
varieties instead of smooth manifolds, then there exist various possibilities to generalize the
canonical sheaf to that setting. One can consider for example the
Grothendieck(-Barlet-Henkin-Passare) dualizing sheaf or the Grauert-Riemenschneider
L2-sheaf. In this talk, we will discuss another possible generalization, i.e., the sheaf of L2
holomorphic n-forms with a certain boundary condition at the singular set. This sheaf is
essential for L2-dbar-theory on singular spaces, but difficult to understand. We will describe
it explicitly for isolated canonical Gorenstein singularities.