Topology & Equivariant Theories 
A1, A2, A3, A5, A6, A7, A8

Dynamics & Variational Methods 
B1, B2, B3, B4, B5, B6, B7, B8

Algebra, Combinatorics & Optimization 
C1, C2, C3, C4, C5, C6, C7

MercatorFellow 
20172020


Dynamics & Variational Methods  B6: Symplectic methods in infinitedimensional systems  Kunze, Suhr  Abstract: The area of infinitedimensional dynamical systems (mostly governed by PDEs) knows many instances where symplectic and advanced Hamiltonian system methods are applicable, be it rigorous or formal. Prominent examples include KAM theory in infinite dimensions, integrable systems, growth of Sobolev norms/nonsqueezing for equations such as KdV, MarsdenWeinstein reduction with respect to symmetry groups, etc. It is the purpose of this project to develop two of those promising topics further.  Group:  
 Prof. Markus Kunze (PI)  mail: mkunze at math.unikoeln.de  phone: 0221 / 470 7075  room: 129  Mathematical Institute  University of Cologne 
  Dr. Stefan Suhr (PI)  mail: stefan.suhr at rub.de  phone: 0234 / 32 27393  room: IB 3/81  Faculty of Mathematics  RuhrUniversity Bochum 
  Giulio Sanzeni (ds)  mail: giulio.sanzeni at rub.de  phone: 0234 / 32 19602  room: IB 3/77  Faculty of Mathematics  RuhrUniversity Bochum 


