• Lecturers: Enno Keßler and Ruijun Wu
• Date: Wednesday, 13:00 - 14:30
• Room: A3 01
• Language: English
• Target audience: MSc students, PhD students, Postdocs
• Prerequisites: Basic knowledge about Riemannian geometry and Riemann surfaces
  

Abstract:

The theory of J-holomorphic curves has been of great importance in symplectic geometry/topology as well as in geometric analysis. They are particular kind of harmonic maps from Riemann surfaces into almost complex manifolds. The Gromov-Witten invariants are defined on suitable moduli spaces of J-holomorphic curves and are used to study the geometry/topology of the target manifolds. There is a lot of similarities between the analysis of J-holomorphic curves and harmonic maps, and it is our goal to give an introduction to this theory, focusing on the analytical aspects.
This is a reading seminar. The main reference is the book “J-holomorphic curves and symplectic topology” by McDuff and Salamon. Each participant is encouraged to make some contribution by giving talks on certain topics in which she/he feels interested.