Mathematics 268: Topics in Differential Geometry (Several Complex Variables) (Fall 2003)
Instructor
Mark Stern
Description
This will be an introduction to complex function theory in many variables.
We will study the local structure of multivariable holomorphic functions,
manifestations and applications of convexity to holomorphic function theory,
Hörmander's solution of the ∂-problem,
properties of Stein spaces, and coherent sheaf theory.
The course will provide the analytic underpinnings for complex analytic
geometry and will be important for students doing (or planning on doing)
research in differential geometry and algebraic geometry.
Prerequisites
Real and complex analysis
Text(s)
TBA
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