International Scientific Coordination Network in Geometric Analysis

Research topics

The following list summarize the main research topics which is studied by means of geometric analysis.

• Minimal surfaces and surfaces of constant mean curvature.
• Riemannian, symplectic-riemannian and sub-riemannian geometry of submanifolds (lagrangian submanifolds, sub-riemannian minimal surfaces etc).
• Isoperimetric problems.
• Spectral theory.
• Non-linear analysis and geometric partial differential equations.
• Integrable systems arising from variational partial differential equations.
• Algebraic geometry in connection with geometric analysis, methods in mathematical physics.
• Geometric evolution problems (mean curvature and Ricci flows, etc).