Topics in several complex variables

Master

In Maynard (USA)

Price on request

Description

  • Type

    Master

  • Location

    Maynard (USA)

  • 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.

Facilities

Location

Start date

Maynard (USA)
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02139

Start date

Different dates availableEnrolment now open

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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

Price on request