Geometry, Analysis and Theoretical Physics
Participants
- Miroslav Bačák
- Qi Ding
- Bobo Hua
- Ming Li
- Xianqing Li-Jost (coordinator Quantum Information)
- Armin Schikorra
- Lorenz Schwachhöfer
- Jürgen Tolksdorf (coordinator VARIOGEO)
- Chao Xia
- Ming-Jing Zhao
- Miaomiao Zhu
External collaborators
- Shaoming Fei (Capital Normal University, Beijing)
- Guofang Wang (Universität Freiburg)
- Yuanlong Xin (Fudan University, Shanghai)
- Ling Yang (Fudan University, Shanghai)
- Chunqin Zhou (Shanghai Jiaotong University)
- Miaomiao Zhu (Warwick University)
Graduate students
- Martin Kell
- Enno Keßler
- Shiping Liu
- Linlin Sun
- Tinggui Zhang
Topics
- Variational problems from geometry and quantum field theory: Coupled field equations (Ginzburg-Landau, Chern-Simons-Higgs, Seiberg-Witten, Toda, Dirac-harmonic), harmonic maps, minimal surfaces and submanifolds, conformal structures
- Supergeometry: Connections with supersymmetry and superstring theory, supersymmetric non-linear σ-models, Super Riemann surfaces
- Representations of fundamental groups of Kähler manifolds, structure theory of projective and quasiprojective varieties, Higgs bundles, cohomology theories, methods from non-linear analysis
- Geometric methods for graphs and simplicial complexes
- Morse-Conley-Floer theory
- Quantum information theory
External Funding
- VARIOGEO (The Geometric Calculus of Variations and its Applications, ERC Advanced Investigator Grant)
