Title: The standard Laplacian
2017.09.21 |
| Date | Wed 11 Oct |
| Time | 14:30 — 15:30 |
| Location | 1531-113 (Aud. D1) |
Abstract:
The standard Laplace operator is a generalization of the Hodge-Laplace operator on differential forms to arbitrary geometric vector bundles. Alternatively it can be seen as a generalization of the Casimir operator acting on sections of homogeneous vector bundles over symmetric spaces to general Riemannian manifolds.
In my talk I will discuss the definition of the standard Laplace operator and its universal properties. The main result of my talk will be a commutator formula, showing that the standard Laplace operator commutes with a large class of natural first order differential operators. This result will be illustrated in several examples. In a particular for the case of nearly Kähler manifolds.
My talk is based on a joint article with G. Weingart.
AaDAG seminar: Aarhus Differential Algebraic Geometry seminar
