Complex Geometry

The goal of this course is to learn the basics of differentiable/complex manifolds and Hodge theory. 

Topics:

• Differentiable/complex manifolds and differentiable/holomorphic vector bundles
• Differential forms on differentiable/complex manifolds
• De Rham and Dolbeault cohomology
• Riemannian/hermitian/Kähler manifolds
• Harmonic forms on compact riemannian/hermitian manifolds
• The Hodge decomposition on compact Kähler manifolds

Further details at: https://www.math.uni-sb.de/ag/lazic/tsakanikas/ComplexGeometryWS2122.html