Topics in several complex variables
Master
In Maynard (USA)
Description
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Type
Master
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Location
Maynard (USA)
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Start date
Different dates available
This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems. Some results and tools on deformation and uniformization of complex manifolds are also discussed.
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Location
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Course programme
Lectures: 3 sessions / week, 1 hour / session
Hormander, L. An Introduction to Complex Analysis in Several Variables. 2nd revised ed. Vol. 7, North-Holland Mathematical Library. Amsterdam-London: North-Holland Publishing Co. ; New York, NY: American Elsevier Publishing Co., Inc., 1973. ISBN: 0444105239.
Griffiths, P., and J. Harris. Principles of Algebraic Geometry. New York, NY: John Wiley and Sons, 1978. ISBN: 0471327921.
Supplementary Notes on Elliptic Operators.
The prerequisites for this class are Functions of a Complex Variable (18.112) and Geometry of Manifolds (18.965).
There are four graded homework assignments.
There are no exams.
There are five segments in this course, each involving about 6 to 8 lectures.
The grade for this class is based on the four homework assignments.
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Topics in several complex variables