SymplecticEinstein is a Consolidator Grant ERC project (2015), led by Joel Fine (Differential Geometry Service, Faculty of Sciences)

The project is based on a new link between two much studied subjects: symplectic geometry and Einstein's equations. A symplectic form is the minimal amount of information needed to formulate classical mechanics and is the starting point for quantisation. Einstein's equations describe the possible shape of the universe.

The project is born out of a surprising connection between these two seemingly different geometries. To each 4-dimensional solution to Einstein's equations one can associate a 6-dimensional symplectic space. The goal is to exploit these twinned spaces to prove new results both in the study of Einstein's equations and in symplectic geometry.

End of the project: 31/08/2020

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 646649).

Created on August 9, 2018