Project Details
Symplectic methods in infinite-dimensional systems (B06)
Subject Area
Mathematics
Term
from 2017 to 2024
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 281071066
Symplectic methods lead to significant progress also for infinite-dimensional dynamical systems (mostly in the form of PDEs). This project considers two instances of such systems, and we intend to (i) construct new solutions of the Einstein equations using integrability methods (via symmetries of the spacetime); and (ii) significantly expand the understanding of the global dynamics of the Vlasov-Poisson system, a well-known kinetic PDE system.
DFG Programme
CRC/Transregios
Applicant Institution
Universität zu Köln
Project Heads
Professor Dr. Igor Burban, until 12/2020; Professor Dr. Markus Kunze; Dr. Stefan Suhr