MAT 545 
Complex Geometry 
Fall 2009 
TuTh 2:20-3:40
Physics P-117

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TuTh 11--12, or by appointment.

Complex Geometry

This course will offer an introduction to the theory of compact complex manifolds, a rich and beautiful subject located at the crossroads between various mathematical disciplines, including complex analysis, algebraic geometry, Riemannian geometry, algebraic topology, and partial differential equations. Topics will include: Kähler metrics, sheaf cohomology, the Kodaira embedding theorem, rudiments of complex curves and surfaces.

While the lectures will be relatively self-contained, they will certainly presuppose a broad, basic mathematical knowledge on the level of the core courses. Students who have not yet passed the departmental comprehensive exam may therefore enroll only by permission of the instructor.

Grades will be based upon class participation.

The Professor may be reached via e-mail by .
This is the best method for making appointments outside normal office hours.

DSS advisory. If you have a physical, psychiatric, medical, or learning disability that could adversely affect your ability to carry out assigned course work, please contact the Disabled Student Services office (DSS), Educational Communications Center (ECC) Building, room 128, (631) 632-6748.  DSS will review your situation and determine, with you, what accommodations are necessary and appropriate. All information and documentation regarding disabilities will be treated as strictly confidential.

Students for whom special evacuation procedures might be necessary in the event of an emergency are encouraged to discuss their needs with both the instructor and with DSS. Important information regarding these issues can also be found at the following web site: