Analysis Seminar: Erlend Grong
Main content
Speaker: Erlend Grong, Postdoc, Mathematical Department, University of Luxembourg.
Title: Horizontal holonomy with applications.
Abstract: We look at holonomy groups defined by parallel transport along curves that are tangent with respect to a given subbundle. This simple idea turns out to have powerful applications to the theory of foliations and connections on fiber bundles. It is also computable, in the sense that we can formulate a generalization of the Ambrose-Singer theorem and the Ozeki theorem for this holonomy. These results are based on joint work with Yacine Chitour (L2S, Paris XI), Frédéric Jean (ENSTA Paris Tech) and Petri Kokkonen (Varian Medical Systems, Helsinki).
Title: Horizontal holonomy with applications.
Abstract: We look at holonomy groups defined by parallel transport along curves that are tangent with respect to a given subbundle. This simple idea turns out to have powerful applications to the theory of foliations and connections on fiber bundles. It is also computable, in the sense that we can formulate a generalization of the Ambrose-Singer theorem and the Ozeki theorem for this holonomy. These results are based on joint work with Yacine Chitour (L2S, Paris XI), Frédéric Jean (ENSTA Paris Tech) and Petri Kokkonen (Varian Medical Systems, Helsinki).
05.05.2015