Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7
B1, B2, B3, B4, B5, B6, B7
C1, C2, C3, C4, C5
Algebra, Combinatorics & Optimization
C5: Modular forms and Gromov-Witten theory
Bringmann, Suhr, Zehmisch
Abstract:
We will provide a theory of polyfolds and abstract perturbations for holomorphic discs. Applications make it possible to prove instances of the Weinstein conjecture and to answer fillability questions for large classes of contact manifolds. Connections to number-theoretic concepts will be drawn via the study of Gromov-Witten invariants. The aim is to investigate whether generating series of Gromov-Witten invariants are Fourier expansions of certain modular forms. This will help us to detect finer structures of Gromov-Witten invariants for non-Kähler manifolds.
Group:
 
Prof. Kathrin Bringmann (PI)
mail: kbringma at math.uni-koeln.de
phone: 0221 / 470 4334
location: Gyrhofstr. 8b
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
Ruhr-University Bochum
Prof. Kai Zehmisch (PI)
mail: kai.zehmisch at math.uni-giessen.de
phone: 0641/ 99 32120
room: 103
Mathematical Institute
 
Dr. Wolfgang Schmaltz (pd)
mail: wolfgang.schmaltz at math.uni-giessen.de
phone: 0641/ 99 32123
 
Mathematical Institute
 
Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum