Lunes 25/09/2017, 16:00 hs. Aula 17
Título: «The standard Laplacian»
Resumen: 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. My talk is based on a joint article with G. Weingart.